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Finding the Fourth Proportional to 432,843.52, 649,297.96 and 129,213.74

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Solution

The fourth proportional to 432,843.52, 649,297.96 and 129,213.74 is: 193,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,843.52 : 649,297.96 = 129,213.74 : x
  2. Step 2: Convert to fraction form
    432,843.52/649,297.96 = 129,213.74/x
  3. Step 3: Cross multiply
    432,843.52x = 649,297.96 × 129,213.74
  4. Step 4: Simplify right side
    432,843.52x = 83,898,217,785.97
  5. Step 5: Solve for x
    x = 83,898,217,785.97/432,843.52
  6. Step 6: Final answer
    x = 193,830.37

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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.