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Finding the Fourth Proportional to 221,422.40, 332,133.60 and 204,315.20

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Solution

The fourth proportional to 221,422.40, 332,133.60 and 204,315.20 is: 306,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,422.40 : 332,133.60 = 204,315.20 : x
  2. Step 2: Convert to fraction form
    221,422.40/332,133.60 = 204,315.20/x
  3. Step 3: Cross multiply
    221,422.40x = 332,133.60 × 204,315.20
  4. Step 4: Simplify right side
    221,422.40x = 67,859,942,910.72
  5. Step 5: Solve for x
    x = 67,859,942,910.72/221,422.40
  6. Step 6: Final answer
    x = 306,472.80

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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.