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Finding the Fourth Proportional to 417,788, 576,548.16 and 238,940

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Solution

The fourth proportional to 417,788, 576,548.16 and 238,940 is: 329,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,788 : 576,548.16 = 238,940 : x
  2. Step 2: Convert to fraction form
    417,788/576,548.16 = 238,940/x
  3. Step 3: Cross multiply
    417,788x = 576,548.16 × 238,940
  4. Step 4: Simplify right side
    417,788x = 137,760,417,350.40
  5. Step 5: Solve for x
    x = 137,760,417,350.40/417,788
  6. Step 6: Final answer
    x = 329,737.61

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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.