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Finding the Fourth Proportional to 221,443.10, 332,164.65 and 209,195.90

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Solution

The fourth proportional to 221,443.10, 332,164.65 and 209,195.90 is: 313,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,443.10 : 332,164.65 = 209,195.90 : x
  2. Step 2: Convert to fraction form
    221,443.10/332,164.65 = 209,195.90/x
  3. Step 3: Cross multiply
    221,443.10x = 332,164.65 × 209,195.90
  4. Step 4: Simplify right side
    221,443.10x = 69,487,482,904.94
  5. Step 5: Solve for x
    x = 69,487,482,904.94/221,443.10
  6. Step 6: Final answer
    x = 313,793.85

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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.