Plot the points $P(1, 0)$,$Q(4, 0)$,and $S(1, 3)$. Find the coordinates of the point $R$ such that $PQRS$ is a square.

(D) $1$. Plot the points $P(1, 0)$,$Q(4, 0)$,and $S(1, 3)$ on the Cartesian plane.
$2$. In a square $PQRS$,the side length $PQ$ is the distance between $(1, 0)$ and $(4, 0)$,which is $|4 - 1| = 3$ units.
$3$. Similarly,the side length $PS$ is the distance between $(1, 0)$ and $(1, 3)$,which is $|3 - 0| = 3$ units.
$4$. Since $PQ = PS = 3$ units and the sides are perpendicular (along the axes),the point $R$ must complete the square.
$5$. The $x$-coordinate of $R$ must match the $x$-coordinate of $Q$,which is $4$.
$6$. The $y$-coordinate of $R$ must match the $y$-coordinate of $S$,which is $3$.
$7$. Therefore,the coordinates of point $R$ are $(4, 3)$.