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Finding the Fourth Proportional to 392,481.90, 588,728.25 and 111,999.10

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Solution

The fourth proportional to 392,481.90, 588,728.25 and 111,999.10 is: 168,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,481.90 : 588,728.25 = 111,999.10 : x
  2. Step 2: Convert to fraction form
    392,481.90/588,728.25 = 111,999.10/x
  3. Step 3: Cross multiply
    392,481.90x = 588,728.25 × 111,999.10
  4. Step 4: Simplify right side
    392,481.90x = 65,937,034,144.58
  5. Step 5: Solve for x
    x = 65,937,034,144.58/392,481.90
  6. Step 6: Final answer
    x = 168,000.19

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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.