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Finding the Fourth Proportional to 497,335.86, 746,008.92 and 398,126.79

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Solution

The fourth proportional to 497,335.86, 746,008.92 and 398,126.79 is: 597,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,335.86 : 746,008.92 = 398,126.79 : x
  2. Step 2: Convert to fraction form
    497,335.86/746,008.92 = 398,126.79/x
  3. Step 3: Cross multiply
    497,335.86x = 746,008.92 × 398,126.79
  4. Step 4: Simplify right side
    497,335.86x = 297,006,136,630.97
  5. Step 5: Solve for x
    x = 297,006,136,630.97/497,335.86
  6. Step 6: Final answer
    x = 597,194.29

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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.