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Finding the Fourth Proportional to 497,297.31, 745,951.17 and 398,088.15

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Solution

The fourth proportional to 497,297.31, 745,951.17 and 398,088.15 is: 597,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,297.31 : 745,951.17 = 398,088.15 : x
  2. Step 2: Convert to fraction form
    497,297.31/745,951.17 = 398,088.15/x
  3. Step 3: Cross multiply
    497,297.31x = 745,951.17 × 398,088.15
  4. Step 4: Simplify right side
    497,297.31x = 296,954,321,255.64
  5. Step 5: Solve for x
    x = 296,954,321,255.64/497,297.31
  6. Step 6: Final answer
    x = 597,136.39

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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.