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Finding the Fourth Proportional to 427,230, 640,691.78 and 127,654.74

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Solution

The fourth proportional to 427,230, 640,691.78 and 127,654.74 is: 191,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,230 : 640,691.78 = 127,654.74 : x
  2. Step 2: Convert to fraction form
    427,230/640,691.78 = 127,654.74/x
  3. Step 3: Cross multiply
    427,230x = 640,691.78 × 127,654.74
  4. Step 4: Simplify right side
    427,230x = 81,787,341,957.76
  5. Step 5: Solve for x
    x = 81,787,341,957.76/427,230
  6. Step 6: Final answer
    x = 191,436.33

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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.