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Finding the Fourth Proportional to 359,666, 539,524.92 and 138,050

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Solution

The fourth proportional to 359,666, 539,524.92 and 138,050 is: 207,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,666 : 539,524.92 = 138,050 : x
  2. Step 2: Convert to fraction form
    359,666/539,524.92 = 138,050/x
  3. Step 3: Cross multiply
    359,666x = 539,524.92 × 138,050
  4. Step 4: Simplify right side
    359,666x = 74,481,415,206
  5. Step 5: Solve for x
    x = 74,481,415,206/359,666
  6. Step 6: Final answer
    x = 207,084.95

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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.