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Finding the Fourth Proportional to 392,081.78, 588,199.25 and 125,821.82

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Solution

The fourth proportional to 392,081.78, 588,199.25 and 125,821.82 is: 188,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,081.78 : 588,199.25 = 125,821.82 : x
  2. Step 2: Convert to fraction form
    392,081.78/588,199.25 = 125,821.82/x
  3. Step 3: Cross multiply
    392,081.78x = 588,199.25 × 125,821.82
  4. Step 4: Simplify right side
    392,081.78x = 74,008,301,942.69
  5. Step 5: Solve for x
    x = 74,008,301,942.69/392,081.78
  6. Step 6: Final answer
    x = 188,757.31

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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.