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Finding the Fourth Proportional to 279,942.80, 419,787.80 and 80,217.52

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Solution

The fourth proportional to 279,942.80, 419,787.80 and 80,217.52 is: 120,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,942.80 : 419,787.80 = 80,217.52 : x
  2. Step 2: Convert to fraction form
    279,942.80/419,787.80 = 80,217.52/x
  3. Step 3: Cross multiply
    279,942.80x = 419,787.80 × 80,217.52
  4. Step 4: Simplify right side
    279,942.80x = 33,674,336,242.26
  5. Step 5: Solve for x
    x = 33,674,336,242.26/279,942.80
  6. Step 6: Final answer
    x = 120,290.06

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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.