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Finding the Fourth Proportional to 279,530.97, 419,300.10 and 79,857.87

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Solution

The fourth proportional to 279,530.97, 419,300.10 and 79,857.87 is: 119,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,530.97 : 419,300.10 = 79,857.87 : x
  2. Step 2: Convert to fraction form
    279,530.97/419,300.10 = 79,857.87/x
  3. Step 3: Cross multiply
    279,530.97x = 419,300.10 × 79,857.87
  4. Step 4: Simplify right side
    279,530.97x = 33,484,412,876.79
  5. Step 5: Solve for x
    x = 33,484,412,876.79/279,530.97
  6. Step 6: Final answer
    x = 119,787.85

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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.