Finding the Fourth Proportional to 758,138.14, 1,046,235.70 and 413,976.46
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Solution
The fourth proportional to 758,138.14, 1,046,235.70 and 413,976.46 is: 571,290.28
Step by Step Solution
- Step 1: Write the proportion equation
758,138.14 : 1,046,235.70 = 413,976.46 : x - Step 2: Convert to fraction form
758,138.14/1,046,235.70 = 413,976.46/x - Step 3: Cross multiply
758,138.14x = 1,046,235.70 × 413,976.46 - Step 4: Simplify right side
758,138.14x = 433,116,951,411.62 - Step 5: Solve for x
x = 433,116,951,411.62/758,138.14 - Step 6: Final answer
x = 571,290.28
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.