  Based on the data sample of $448.1\times10^{6}$ $\psi(3686)$ events collected
with the BESIII detector at BEPCII, we present a study of the decays
$\psi(3686)\rightarrow\gamma\chi_{cJ}\rightarrow\gamma\bar{p}K^{*+}\Lambda+c.c.$
and $\psi(3686)\rightarrow\bar{p}K^{*+}\Lambda+c.c.$. The branching fractions
of $\chi_{cJ}\rightarrow\bar{p}K^{*+}\Lambda+c.c.$ ($J$=0, 1, 2) are measured
to be $(4.8\pm0.7\pm0.5)\times10^{-4}$, $(5.0\pm0.5\pm0.4)\times10^{-4}$, and
$(8.2\pm0.9\pm0.7)\times10^{-4}$, respectively, where the first uncertainties
are statistical and the second systematic. The branching fraction of
$\psi(3686)\rightarrow\bar{p}K^{*+}\Lambda+c.c.$ is measured to be
$(6.3\pm0.5\pm0.5)\times10^{-5}$. All these decay modes are observed for the
first time.
