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Finding the Fourth Proportional to 221,634.20, 332,111.10 and 165,209.60

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Solution

The fourth proportional to 221,634.20, 332,111.10 and 165,209.60 is: 247,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,634.20 : 332,111.10 = 165,209.60 : x
  2. Step 2: Convert to fraction form
    221,634.20/332,111.10 = 165,209.60/x
  3. Step 3: Cross multiply
    221,634.20x = 332,111.10 × 165,209.60
  4. Step 4: Simplify right side
    221,634.20x = 54,867,941,986.56
  5. Step 5: Solve for x
    x = 54,867,941,986.56/221,634.20
  6. Step 6: Final answer
    x = 247,560.81

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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.