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Finding the Fourth Proportional to 280,180.80, 420,274.25 and 80,502.84

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Solution

The fourth proportional to 280,180.80, 420,274.25 and 80,502.84 is: 120,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,180.80 : 420,274.25 = 80,502.84 : x
  2. Step 2: Convert to fraction form
    280,180.80/420,274.25 = 80,502.84/x
  3. Step 3: Cross multiply
    280,180.80x = 420,274.25 × 80,502.84
  4. Step 4: Simplify right side
    280,180.80x = 33,833,270,703.87
  5. Step 5: Solve for x
    x = 33,833,270,703.87/280,180.80
  6. Step 6: Final answer
    x = 120,755.14

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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.