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Finding the Fourth Proportional to 515,694.72, 773,538.96 and 280,531.92

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Solution

The fourth proportional to 515,694.72, 773,538.96 and 280,531.92 is: 420,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,694.72 : 773,538.96 = 280,531.92 : x
  2. Step 2: Convert to fraction form
    515,694.72/773,538.96 = 280,531.92/x
  3. Step 3: Cross multiply
    515,694.72x = 773,538.96 × 280,531.92
  4. Step 4: Simplify right side
    515,694.72x = 217,002,369,643.60
  5. Step 5: Solve for x
    x = 217,002,369,643.60/515,694.72
  6. Step 6: Final answer
    x = 420,796.18

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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.