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Finding the Fourth Proportional to 399,755.92, 599,463.20 and 231,392.48

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Solution

The fourth proportional to 399,755.92, 599,463.20 and 231,392.48 is: 346,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,755.92 : 599,463.20 = 231,392.48 : x
  2. Step 2: Convert to fraction form
    399,755.92/599,463.20 = 231,392.48/x
  3. Step 3: Cross multiply
    399,755.92x = 599,463.20 × 231,392.48
  4. Step 4: Simplify right side
    399,755.92x = 138,711,276,516.74
  5. Step 5: Solve for x
    x = 138,711,276,516.74/399,755.92
  6. Step 6: Final answer
    x = 346,989.92

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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.