Finding the Fourth Proportional to 870,156.24, 1,305,269.73 and 414,513.24
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Solution
The fourth proportional to 870,156.24, 1,305,269.73 and 414,513.24 is: 621,786.71
Step by Step Solution
- Step 1: Write the proportion equation
870,156.24 : 1,305,269.73 = 414,513.24 : x - Step 2: Convert to fraction form
870,156.24/1,305,269.73 = 414,513.24/x - Step 3: Cross multiply
870,156.24x = 1,305,269.73 × 414,513.24 - Step 4: Simplify right side
870,156.24x = 541,051,584,856.23 - Step 5: Solve for x
x = 541,051,584,856.23/870,156.24 - Step 6: Final answer
x = 621,786.71
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.