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Finding the Fourth Proportional to 498,630.60, 748,205.10 and 218,176.20

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Solution

The fourth proportional to 498,630.60, 748,205.10 and 218,176.20 is: 327,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,630.60 : 748,205.10 = 218,176.20 : x
  2. Step 2: Convert to fraction form
    498,630.60/748,205.10 = 218,176.20/x
  3. Step 3: Cross multiply
    498,630.60x = 748,205.10 × 218,176.20
  4. Step 4: Simplify right side
    498,630.60x = 163,240,545,538.62
  5. Step 5: Solve for x
    x = 163,240,545,538.62/498,630.60
  6. Step 6: Final answer
    x = 327,377.71

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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.