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Finding the Fourth Proportional to 394,115.72, 591,256.62 and 127,855.46

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Solution

The fourth proportional to 394,115.72, 591,256.62 and 127,855.46 is: 191,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,115.72 : 591,256.62 = 127,855.46 : x
  2. Step 2: Convert to fraction form
    394,115.72/591,256.62 = 127,855.46/x
  3. Step 3: Cross multiply
    394,115.72x = 591,256.62 × 127,855.46
  4. Step 4: Simplify right side
    394,115.72x = 75,595,387,128.15
  5. Step 5: Solve for x
    x = 75,595,387,128.15/394,115.72
  6. Step 6: Final answer
    x = 191,810.13

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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.