A complex and multifaceted problem that has been widely studied in the field of education is the impact of genetic variables and parents' socioeconomic status (SES) on students' academic achievement. Children from low socioeconomic backgrounds struggle academically due to scarce resources, educational opportunities and developmental delays. For successful interventions and policies aiming at expanding educational opportunities and reducing performance gaps, it is essential to understand the relationship between these elements. To achieve this, we investigate the complex relationship between genetic characteristics, socioeconomic status and their combined effect on children's educational attainment. Families' financial position and children's acquired DNA differences, which can be integrated into Polygenic Risk Scores (PRS), are the two most important factors of children's educational success obtainable during childbirth. The sample consisted of 1451 low-income teenage females (n=718) enrolled in rural public schools between the ages of 14 and 19. We show that throughout the academic years, both the PRS and SES predict higher levels of educational achievement. In addition to predicting first-year academic success, we find that SES and PRS explain why students' grades fluctuate so much over a school year. Children with high PRS and high SES origins enroll in university at a rate of 70%, in contrast to 30% among individuals with lower PRS and lower SES families. We determine the relationships between SES and PRS as well as academic success are usually positive, indicating that their combined impact is significant for students at the extreme ends of the dispersion.