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Finding the Fourth Proportional to 308,791.41, 463,139.76 and 84,169.92

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Solution

The fourth proportional to 308,791.41, 463,139.76 and 84,169.92 is: 126,241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,791.41 : 463,139.76 = 84,169.92 : x
  2. Step 2: Convert to fraction form
    308,791.41/463,139.76 = 84,169.92/x
  3. Step 3: Cross multiply
    308,791.41x = 463,139.76 × 84,169.92
  4. Step 4: Simplify right side
    308,791.41x = 38,982,436,548.02
  5. Step 5: Solve for x
    x = 38,982,436,548.02/308,791.41
  6. Step 6: Final answer
    x = 126,241.97

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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.