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Finding the Fourth Proportional to 279,865.52, 419,674.68 and 80,140.52

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Solution

The fourth proportional to 279,865.52, 419,674.68 and 80,140.52 is: 120,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,865.52 : 419,674.68 = 80,140.52 : x
  2. Step 2: Convert to fraction form
    279,865.52/419,674.68 = 80,140.52/x
  3. Step 3: Cross multiply
    279,865.52x = 419,674.68 × 80,140.52
  4. Step 4: Simplify right side
    279,865.52x = 33,632,947,086.03
  5. Step 5: Solve for x
    x = 33,632,947,086.03/279,865.52
  6. Step 6: Final answer
    x = 120,175.39

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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.