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Finding the Fourth Proportional to 502,689.43, 693,728.31 and 295,920.53

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Solution

The fourth proportional to 502,689.43, 693,728.31 and 295,920.53 is: 408,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,689.43 : 693,728.31 = 295,920.53 : x
  2. Step 2: Convert to fraction form
    502,689.43/693,728.31 = 295,920.53/x
  3. Step 3: Cross multiply
    502,689.43x = 693,728.31 × 295,920.53
  4. Step 4: Simplify right side
    502,689.43x = 205,288,449,171.20
  5. Step 5: Solve for x
    x = 205,288,449,171.20/502,689.43
  6. Step 6: Final answer
    x = 408,380.28

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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.