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Finding the Fourth Proportional to 510,278.92, 765,591.38 and 225,930.31

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Solution

The fourth proportional to 510,278.92, 765,591.38 and 225,930.31 is: 338,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,278.92 : 765,591.38 = 225,930.31 : x
  2. Step 2: Convert to fraction form
    510,278.92/765,591.38 = 225,930.31/x
  3. Step 3: Cross multiply
    510,278.92x = 765,591.38 × 225,930.31
  4. Step 4: Simplify right side
    510,278.92x = 172,970,297,816.73
  5. Step 5: Solve for x
    x = 172,970,297,816.73/510,278.92
  6. Step 6: Final answer
    x = 338,972.06

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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.