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Finding the Fourth Proportional to 267,221.60, 400,897.20 and 188,489.60

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Solution

The fourth proportional to 267,221.60, 400,897.20 and 188,489.60 is: 282,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,221.60 : 400,897.20 = 188,489.60 : x
  2. Step 2: Convert to fraction form
    267,221.60/400,897.20 = 188,489.60/x
  3. Step 3: Cross multiply
    267,221.60x = 400,897.20 × 188,489.60
  4. Step 4: Simplify right side
    267,221.60x = 75,564,952,869.12
  5. Step 5: Solve for x
    x = 75,564,952,869.12/267,221.60
  6. Step 6: Final answer
    x = 282,780.11

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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.