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Finding the Fourth Proportional to 498,327.60, 747,345.60 and 178,442.40

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Solution

The fourth proportional to 498,327.60, 747,345.60 and 178,442.40 is: 267,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,327.60 : 747,345.60 = 178,442.40 : x
  2. Step 2: Convert to fraction form
    498,327.60/747,345.60 = 178,442.40/x
  3. Step 3: Cross multiply
    498,327.60x = 747,345.60 × 178,442.40
  4. Step 4: Simplify right side
    498,327.60x = 133,358,142,493.44
  5. Step 5: Solve for x
    x = 133,358,142,493.44/498,327.60
  6. Step 6: Final answer
    x = 267,611.39

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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.