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Finding the Fourth Proportional to 261,178.49, 391,767.71 and 172,411.20

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Solution

The fourth proportional to 261,178.49, 391,767.71 and 172,411.20 is: 258,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,178.49 : 391,767.71 = 172,411.20 : x
  2. Step 2: Convert to fraction form
    261,178.49/391,767.71 = 172,411.20/x
  3. Step 3: Cross multiply
    261,178.49x = 391,767.71 × 172,411.20
  4. Step 4: Simplify right side
    261,178.49x = 67,545,140,140.30
  5. Step 5: Solve for x
    x = 67,545,140,140.30/261,178.49
  6. Step 6: Final answer
    x = 258,616.78

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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.