Let $PQR$ be an equilateral triangle. Extend side $\overline{PQ}$ beyond $Q$ to a point $Q^{\prime }$ so that $Q{Q}^{\prime }=4\cdot PQ$. Similarly, extend side $\overline{QR}$ beyond $R$ to a point $R^{\prime }$ so that $R{R}^{\prime }=4\cdot QR$, and extend side $\overline{RP}$ beyond $P$ to a point $P^{\prime }$ so that $P{P}^{\prime }=4\cdot RP$. What is the ratio of the area of $△P^{\prime }{Q}^{\prime }{R}^{\prime }$ to the area of $△PQR$?