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Finding the Fourth Proportional to 498,442.28, 747,478.74 and 178,544.30

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Solution

The fourth proportional to 498,442.28, 747,478.74 and 178,544.30 is: 267,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,442.28 : 747,478.74 = 178,544.30 : x
  2. Step 2: Convert to fraction form
    498,442.28/747,478.74 = 178,544.30/x
  3. Step 3: Cross multiply
    498,442.28x = 747,478.74 × 178,544.30
  4. Step 4: Simplify right side
    498,442.28x = 133,458,068,398.18
  5. Step 5: Solve for x
    x = 133,458,068,398.18/498,442.28
  6. Step 6: Final answer
    x = 267,750.30

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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.