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Finding the Fourth Proportional to 279,998.10, 419,995.17 and 80,318.70

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Solution

The fourth proportional to 279,998.10, 419,995.17 and 80,318.70 is: 120,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,998.10 : 419,995.17 = 80,318.70 : x
  2. Step 2: Convert to fraction form
    279,998.10/419,995.17 = 80,318.70/x
  3. Step 3: Cross multiply
    279,998.10x = 419,995.17 × 80,318.70
  4. Step 4: Simplify right side
    279,998.10x = 33,733,466,060.68
  5. Step 5: Solve for x
    x = 33,733,466,060.68/279,998.10
  6. Step 6: Final answer
    x = 120,477.48

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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.