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Finding the Fourth Proportional to 392,100.17, 588,103.49 and 107,819.60

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Solution

The fourth proportional to 392,100.17, 588,103.49 and 107,819.60 is: 161,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,100.17 : 588,103.49 = 107,819.60 : x
  2. Step 2: Convert to fraction form
    392,100.17/588,103.49 = 107,819.60/x
  3. Step 3: Cross multiply
    392,100.17x = 588,103.49 × 107,819.60
  4. Step 4: Simplify right side
    392,100.17x = 63,409,080,379.44
  5. Step 5: Solve for x
    x = 63,409,080,379.44/392,100.17
  6. Step 6: Final answer
    x = 161,716.54

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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.