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Finding the Fourth Proportional to 354,542, 531,812.64 and 129,920

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Solution

The fourth proportional to 354,542, 531,812.64 and 129,920 is: 194,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,542 : 531,812.64 = 129,920 : x
  2. Step 2: Convert to fraction form
    354,542/531,812.64 = 129,920/x
  3. Step 3: Cross multiply
    354,542x = 531,812.64 × 129,920
  4. Step 4: Simplify right side
    354,542x = 69,093,098,188.80
  5. Step 5: Solve for x
    x = 69,093,098,188.80/354,542
  6. Step 6: Final answer
    x = 194,879.87

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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.