KöMaL 2012 K355

Let $F$ be the point lying closer to point $A$ that divides side $AB$ of a square ABCD in a 1:2 ratio. Let $E$ be the point closer to $D$ that divides side $AD$in a 1:2 ratio, and let $G$ be the point closer to $C$ that divides side $CD$ in a 1:5 ratio. In what ratio do the diagonals of quadrilateral EFBG divide each other?