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Finding the Fourth Proportional to 280,639.85, 420,909.17 and 80,911.17

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Solution

The fourth proportional to 280,639.85, 420,909.17 and 80,911.17 is: 121,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,639.85 : 420,909.17 = 80,911.17 : x
  2. Step 2: Convert to fraction form
    280,639.85/420,909.17 = 80,911.17/x
  3. Step 3: Cross multiply
    280,639.85x = 420,909.17 × 80,911.17
  4. Step 4: Simplify right side
    280,639.85x = 34,056,253,003.87
  5. Step 5: Solve for x
    x = 34,056,253,003.87/280,639.85
  6. Step 6: Final answer
    x = 121,352.17

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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.