You can check which radio button value is selected and based on that you could add something that sets the "ControlToValidate" property of your validator to the particular control you want.
protected void submitButton_Click(object sender, EventArgs e)
{
if(radiobuttonlist.SeletedValue == "rbl1Value1")
{
validatorControl.ControlToValidate = "TextBox1";
}
else if (radiobuttonlist.SeletedValue == "rbl1Value2")
{
validatorControl.ControlToValidate = "TextBox2";
}
else
{
validatorControl.ControlToValidate = "TextBox3";
}
}
This is very basic and others might have better ideas.