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Finding the Fourth Proportional to 327,098.25, 490,647.38 and 87,212.97

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Solution

The fourth proportional to 327,098.25, 490,647.38 and 87,212.97 is: 130,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,098.25 : 490,647.38 = 87,212.97 : x
  2. Step 2: Convert to fraction form
    327,098.25/490,647.38 = 87,212.97/x
  3. Step 3: Cross multiply
    327,098.25x = 490,647.38 × 87,212.97
  4. Step 4: Simplify right side
    327,098.25x = 42,790,814,796.45
  5. Step 5: Solve for x
    x = 42,790,814,796.45/327,098.25
  6. Step 6: Final answer
    x = 130,819.46

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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.