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Finding the Fourth Proportional to 280,597.85, 420,958.97 and 80,902.66

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Solution

The fourth proportional to 280,597.85, 420,958.97 and 80,902.66 is: 121,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,597.85 : 420,958.97 = 80,902.66 : x
  2. Step 2: Convert to fraction form
    280,597.85/420,958.97 = 80,902.66/x
  3. Step 3: Cross multiply
    280,597.85x = 420,958.97 × 80,902.66
  4. Step 4: Simplify right side
    280,597.85x = 34,056,700,423.86
  5. Step 5: Solve for x
    x = 34,056,700,423.86/280,597.85
  6. Step 6: Final answer
    x = 121,371.92

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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.