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Finding the Fourth Proportional to 280,049.96, 419,951.28 and 80,325.02

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Solution

The fourth proportional to 280,049.96, 419,951.28 and 80,325.02 is: 120,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,049.96 : 419,951.28 = 80,325.02 : x
  2. Step 2: Convert to fraction form
    280,049.96/419,951.28 = 80,325.02/x
  3. Step 3: Cross multiply
    280,049.96x = 419,951.28 × 80,325.02
  4. Step 4: Simplify right side
    280,049.96x = 33,732,594,965.03
  5. Step 5: Solve for x
    x = 33,732,594,965.03/280,049.96
  6. Step 6: Final answer
    x = 120,452.06

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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.