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Finding the Fourth Proportional to 221,458.20, 332,187.30 and 205,711.80

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Solution

The fourth proportional to 221,458.20, 332,187.30 and 205,711.80 is: 308,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,458.20 : 332,187.30 = 205,711.80 : x
  2. Step 2: Convert to fraction form
    221,458.20/332,187.30 = 205,711.80/x
  3. Step 3: Cross multiply
    221,458.20x = 332,187.30 × 205,711.80
  4. Step 4: Simplify right side
    221,458.20x = 68,334,847,420.14
  5. Step 5: Solve for x
    x = 68,334,847,420.14/221,458.20
  6. Step 6: Final answer
    x = 308,567.70

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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.