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Finding the Fourth Proportional to 279,914.72, 419,873.17 and 85,169.83

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Solution

The fourth proportional to 279,914.72, 419,873.17 and 85,169.83 is: 127,755.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,914.72 : 419,873.17 = 85,169.83 : x
  2. Step 2: Convert to fraction form
    279,914.72/419,873.17 = 85,169.83/x
  3. Step 3: Cross multiply
    279,914.72x = 419,873.17 × 85,169.83
  4. Step 4: Simplify right side
    279,914.72x = 35,760,527,606.84
  5. Step 5: Solve for x
    x = 35,760,527,606.84/279,914.72
  6. Step 6: Final answer
    x = 127,755.08

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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.