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Finding the Fourth Proportional to 280,063.80, 419,969.34 and 80,338.86

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Solution

The fourth proportional to 280,063.80, 419,969.34 and 80,338.86 is: 120,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,063.80 : 419,969.34 = 80,338.86 : x
  2. Step 2: Convert to fraction form
    280,063.80/419,969.34 = 80,338.86/x
  3. Step 3: Cross multiply
    280,063.80x = 419,969.34 × 80,338.86
  4. Step 4: Simplify right side
    280,063.80x = 33,739,858,010.55
  5. Step 5: Solve for x
    x = 33,739,858,010.55/280,063.80
  6. Step 6: Final answer
    x = 120,472.04

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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.