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Finding the Fourth Proportional to 359,144.74, 538,713.87 and 137,528.74

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Solution

The fourth proportional to 359,144.74, 538,713.87 and 137,528.74 is: 206,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,144.74 : 538,713.87 = 137,528.74 : x
  2. Step 2: Convert to fraction form
    359,144.74/538,713.87 = 137,528.74/x
  3. Step 3: Cross multiply
    359,144.74x = 538,713.87 × 137,528.74
  4. Step 4: Simplify right side
    359,144.74x = 74,088,639,761.62
  5. Step 5: Solve for x
    x = 74,088,639,761.62/359,144.74
  6. Step 6: Final answer
    x = 206,291.87

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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.