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Finding the Fourth Proportional to 279,761.57, 419,684.01 and 99,832.97

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Solution

The fourth proportional to 279,761.57, 419,684.01 and 99,832.97 is: 149,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,761.57 : 419,684.01 = 99,832.97 : x
  2. Step 2: Convert to fraction form
    279,761.57/419,684.01 = 99,832.97/x
  3. Step 3: Cross multiply
    279,761.57x = 419,684.01 × 99,832.97
  4. Step 4: Simplify right side
    279,761.57x = 41,898,302,229.02
  5. Step 5: Solve for x
    x = 41,898,302,229.02/279,761.57
  6. Step 6: Final answer
    x = 149,764.33

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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.