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Finding the Fourth Proportional to 497,098.40, 744,092.40 and 391,344.80

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Solution

The fourth proportional to 497,098.40, 744,092.40 and 391,344.80 is: 585,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,098.40 : 744,092.40 = 391,344.80 : x
  2. Step 2: Convert to fraction form
    497,098.40/744,092.40 = 391,344.80/x
  3. Step 3: Cross multiply
    497,098.40x = 744,092.40 × 391,344.80
  4. Step 4: Simplify right side
    497,098.40x = 291,196,691,459.52
  5. Step 5: Solve for x
    x = 291,196,691,459.52/497,098.40
  6. Step 6: Final answer
    x = 585,792.86

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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.