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Finding the Fourth Proportional to 261,010.83, 391,490.92 and 83,470.17

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Solution

The fourth proportional to 261,010.83, 391,490.92 and 83,470.17 is: 125,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,010.83 : 391,490.92 = 83,470.17 : x
  2. Step 2: Convert to fraction form
    261,010.83/391,490.92 = 83,470.17/x
  3. Step 3: Cross multiply
    261,010.83x = 391,490.92 × 83,470.17
  4. Step 4: Simplify right side
    261,010.83x = 32,677,813,645.86
  5. Step 5: Solve for x
    x = 32,677,813,645.86/261,010.83
  6. Step 6: Final answer
    x = 125,197.16

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1.5x scale

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.