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Finding the Fourth Proportional to 498,287.20, 747,442.32 and 178,460.98

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Solution

The fourth proportional to 498,287.20, 747,442.32 and 178,460.98 is: 267,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,287.20 : 747,442.32 = 178,460.98 : x
  2. Step 2: Convert to fraction form
    498,287.20/747,442.32 = 178,460.98/x
  3. Step 3: Cross multiply
    498,287.20x = 747,442.32 × 178,460.98
  4. Step 4: Simplify right side
    498,287.20x = 133,389,288,920.67
  5. Step 5: Solve for x
    x = 133,389,288,920.67/498,287.20
  6. Step 6: Final answer
    x = 267,695.60

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1.5x scale

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.