Задача для детсада )
<select id="sel" name="sel">
<option value="1">First</option>
<option value="2">Second</option>
</select>
<select id="select_1" name="sel">
<option id="element_1" value="a">a</option>
<option id="element_2" value="b">b</option>
</select>
<select id="select_2" name="sel">
<option id="element_1" value="c">c</option>
<option id="element_2" value="d">d</option>
</select>
<select id="select_3" name="sel">
<option id="element_1" value="e">e</option>
<option id="element_2" value="f">f</option>
</select>
<script>
(function(){
var master = document.getElementById('sel'),
slaves = [];
for (var i = 0; i < 3; i++) {
slaves[i] = document.getElementById('select_' + (i + 1));
}
master.onchange = function() {
for (var i = 0; i < 3; i++) {
slaves[i].selectedIndex = this.value - 1;
}
}
})();
</script>