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Finding the Fourth Proportional to 218,714.40, 327,634.20 and 147,855.60

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Solution

The fourth proportional to 218,714.40, 327,634.20 and 147,855.60 is: 221,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,714.40 : 327,634.20 = 147,855.60 : x
  2. Step 2: Convert to fraction form
    218,714.40/327,634.20 = 147,855.60/x
  3. Step 3: Cross multiply
    218,714.40x = 327,634.20 × 147,855.60
  4. Step 4: Simplify right side
    218,714.40x = 48,442,551,221.52
  5. Step 5: Solve for x
    x = 48,442,551,221.52/218,714.40
  6. Step 6: Final answer
    x = 221,487.71

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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.