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Finding the Fourth Proportional to 221,951.54, 332,927.42 and 206,008.31

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Solution

The fourth proportional to 221,951.54, 332,927.42 and 206,008.31 is: 309,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,951.54 : 332,927.42 = 206,008.31 : x
  2. Step 2: Convert to fraction form
    221,951.54/332,927.42 = 206,008.31/x
  3. Step 3: Cross multiply
    221,951.54x = 332,927.42 × 206,008.31
  4. Step 4: Simplify right side
    221,951.54x = 68,585,814,949.14
  5. Step 5: Solve for x
    x = 68,585,814,949.14/221,951.54
  6. Step 6: Final answer
    x = 309,012.56

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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.