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Finding the Fourth Proportional to 497,781.60, 746,769.60 and 198,211.20

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Solution

The fourth proportional to 497,781.60, 746,769.60 and 198,211.20 is: 297,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,781.60 : 746,769.60 = 198,211.20 : x
  2. Step 2: Convert to fraction form
    497,781.60/746,769.60 = 198,211.20/x
  3. Step 3: Cross multiply
    497,781.60x = 746,769.60 × 198,211.20
  4. Step 4: Simplify right side
    497,781.60x = 148,018,098,539.52
  5. Step 5: Solve for x
    x = 148,018,098,539.52/497,781.60
  6. Step 6: Final answer
    x = 297,355.50

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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.