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Finding the Fourth Proportional to 280,058.80, 419,961.84 and 80,333.86

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Solution

The fourth proportional to 280,058.80, 419,961.84 and 80,333.86 is: 120,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,058.80 : 419,961.84 = 80,333.86 : x
  2. Step 2: Convert to fraction form
    280,058.80/419,961.84 = 80,333.86/x
  3. Step 3: Cross multiply
    280,058.80x = 419,961.84 × 80,333.86
  4. Step 4: Simplify right side
    280,058.80x = 33,737,155,659.90
  5. Step 5: Solve for x
    x = 33,737,155,659.90/280,058.80
  6. Step 6: Final answer
    x = 120,464.54

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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.