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Finding the Fourth Proportional to 386,781.66, 580,030.74 and 133,996.86

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Solution

The fourth proportional to 386,781.66, 580,030.74 and 133,996.86 is: 200,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,781.66 : 580,030.74 = 133,996.86 : x
  2. Step 2: Convert to fraction form
    386,781.66/580,030.74 = 133,996.86/x
  3. Step 3: Cross multiply
    386,781.66x = 580,030.74 × 133,996.86
  4. Step 4: Simplify right side
    386,781.66x = 77,722,297,863.48
  5. Step 5: Solve for x
    x = 77,722,297,863.48/386,781.66
  6. Step 6: Final answer
    x = 200,946.18

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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.