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Finding the Fourth Proportional to 498,328.60, 747,347.10 and 178,443.40

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Solution

The fourth proportional to 498,328.60, 747,347.10 and 178,443.40 is: 267,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,328.60 : 747,347.10 = 178,443.40 : x
  2. Step 2: Convert to fraction form
    498,328.60/747,347.10 = 178,443.40/x
  3. Step 3: Cross multiply
    498,328.60x = 747,347.10 × 178,443.40
  4. Step 4: Simplify right side
    498,328.60x = 133,359,157,504.14
  5. Step 5: Solve for x
    x = 133,359,157,504.14/498,328.60
  6. Step 6: Final answer
    x = 267,612.89

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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.