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Finding the Fourth Proportional to 220,791.92, 304,528.56 and 140,149.40

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Solution

The fourth proportional to 220,791.92, 304,528.56 and 140,149.40 is: 193,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,791.92 : 304,528.56 = 140,149.40 : x
  2. Step 2: Convert to fraction form
    220,791.92/304,528.56 = 140,149.40/x
  3. Step 3: Cross multiply
    220,791.92x = 304,528.56 × 140,149.40
  4. Step 4: Simplify right side
    220,791.92x = 42,679,494,966.86
  5. Step 5: Solve for x
    x = 42,679,494,966.86/220,791.92
  6. Step 6: Final answer
    x = 193,301.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.