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Finding the Fourth Proportional to 515,761.92, 773,280 and 199,952.64

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Solution

The fourth proportional to 515,761.92, 773,280 and 199,952.64 is: 299,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,761.92 : 773,280 = 199,952.64 : x
  2. Step 2: Convert to fraction form
    515,761.92/773,280 = 199,952.64/x
  3. Step 3: Cross multiply
    515,761.92x = 773,280 × 199,952.64
  4. Step 4: Simplify right side
    515,761.92x = 154,619,377,459.20
  5. Step 5: Solve for x
    x = 154,619,377,459.20/515,761.92
  6. Step 6: Final answer
    x = 299,788.28

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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.