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Finding the Fourth Proportional to 387,180, 580,791.87 and 137,862

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Solution

The fourth proportional to 387,180, 580,791.87 and 137,862 is: 206,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,180 : 580,791.87 = 137,862 : x
  2. Step 2: Convert to fraction form
    387,180/580,791.87 = 137,862/x
  3. Step 3: Cross multiply
    387,180x = 580,791.87 × 137,862
  4. Step 4: Simplify right side
    387,180x = 80,069,128,781.94
  5. Step 5: Solve for x
    x = 80,069,128,781.94/387,180
  6. Step 6: Final answer
    x = 206,800.79

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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.