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Finding the Fourth Proportional to 387,172.50, 580,780.62 and 137,854.50

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Solution

The fourth proportional to 387,172.50, 580,780.62 and 137,854.50 is: 206,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,172.50 : 580,780.62 = 137,854.50 : x
  2. Step 2: Convert to fraction form
    387,172.50/580,780.62 = 137,854.50/x
  3. Step 3: Cross multiply
    387,172.50x = 580,780.62 × 137,854.50
  4. Step 4: Simplify right side
    387,172.50x = 80,063,221,979.79
  5. Step 5: Solve for x
    x = 80,063,221,979.79/387,172.50
  6. Step 6: Final answer
    x = 206,789.54

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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.