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Finding the Fourth Proportional to 274,337.20, 410,849.70 and 221,849.20

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Solution

The fourth proportional to 274,337.20, 410,849.70 and 221,849.20 is: 332,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,337.20 : 410,849.70 = 221,849.20 : x
  2. Step 2: Convert to fraction form
    274,337.20/410,849.70 = 221,849.20/x
  3. Step 3: Cross multiply
    274,337.20x = 410,849.70 × 221,849.20
  4. Step 4: Simplify right side
    274,337.20x = 91,146,677,265.24
  5. Step 5: Solve for x
    x = 91,146,677,265.24/274,337.20
  6. Step 6: Final answer
    x = 332,243.23

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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.