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Finding the Fourth Proportional to 387,198.29, 580,946.38 and 187,503.32

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Solution

The fourth proportional to 387,198.29, 580,946.38 and 187,503.32 is: 281,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,198.29 : 580,946.38 = 187,503.32 : x
  2. Step 2: Convert to fraction form
    387,198.29/580,946.38 = 187,503.32/x
  3. Step 3: Cross multiply
    387,198.29x = 580,946.38 × 187,503.32
  4. Step 4: Simplify right side
    387,198.29x = 108,929,375,975.59
  5. Step 5: Solve for x
    x = 108,929,375,975.59/387,198.29
  6. Step 6: Final answer
    x = 281,327.11

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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.