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Finding the Fourth Proportional to 280,604.55, 420,969.15 and 80,909.40

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Solution

The fourth proportional to 280,604.55, 420,969.15 and 80,909.40 is: 121,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,604.55 : 420,969.15 = 80,909.40 : x
  2. Step 2: Convert to fraction form
    280,604.55/420,969.15 = 80,909.40/x
  3. Step 3: Cross multiply
    280,604.55x = 420,969.15 × 80,909.40
  4. Step 4: Simplify right side
    280,604.55x = 34,060,361,345.01
  5. Step 5: Solve for x
    x = 34,060,361,345.01/280,604.55
  6. Step 6: Final answer
    x = 121,382.07

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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.