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Finding the Fourth Proportional to 498,442.97, 687,842.50 and 283,578.42

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Solution

The fourth proportional to 498,442.97, 687,842.50 and 283,578.42 is: 391,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,442.97 : 687,842.50 = 283,578.42 : x
  2. Step 2: Convert to fraction form
    498,442.97/687,842.50 = 283,578.42/x
  3. Step 3: Cross multiply
    498,442.97x = 687,842.50 × 283,578.42
  4. Step 4: Simplify right side
    498,442.97x = 195,057,291,761.02
  5. Step 5: Solve for x
    x = 195,057,291,761.02/498,442.97
  6. Step 6: Final answer
    x = 391,333.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.