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Finding the Fourth Proportional to 280,057.80, 419,960.34 and 80,332.86

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Solution

The fourth proportional to 280,057.80, 419,960.34 and 80,332.86 is: 120,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,057.80 : 419,960.34 = 80,332.86 : x
  2. Step 2: Convert to fraction form
    280,057.80/419,960.34 = 80,332.86/x
  3. Step 3: Cross multiply
    280,057.80x = 419,960.34 × 80,332.86
  4. Step 4: Simplify right side
    280,057.80x = 33,736,615,198.77
  5. Step 5: Solve for x
    x = 33,736,615,198.77/280,057.80
  6. Step 6: Final answer
    x = 120,463.04

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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.