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Finding the Fourth Proportional to 220,496.96, 330,744.20 and 80,255.58

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Solution

The fourth proportional to 220,496.96, 330,744.20 and 80,255.58 is: 120,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,496.96 : 330,744.20 = 80,255.58 : x
  2. Step 2: Convert to fraction form
    220,496.96/330,744.20 = 80,255.58/x
  3. Step 3: Cross multiply
    220,496.96x = 330,744.20 × 80,255.58
  4. Step 4: Simplify right side
    220,496.96x = 26,544,067,201.36
  5. Step 5: Solve for x
    x = 26,544,067,201.36/220,496.96
  6. Step 6: Final answer
    x = 120,382.92

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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.