Ellipse

Let the eccentricity of an ellipse \({{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1\), \(a > b\), be \({1 \over 4}\). If this ellipse passes through the point \(\left( { - 4\sqrt {{2 \over 5}} ,3} \right)\), then \({a^2} + {b^2}\) is equal to :