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Finding the Fourth Proportional to 221,722.40, 332,583.60 and 204,615.20

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Solution

The fourth proportional to 221,722.40, 332,583.60 and 204,615.20 is: 306,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,722.40 : 332,583.60 = 204,615.20 : x
  2. Step 2: Convert to fraction form
    221,722.40/332,583.60 = 204,615.20/x
  3. Step 3: Cross multiply
    221,722.40x = 332,583.60 × 204,615.20
  4. Step 4: Simplify right side
    221,722.40x = 68,051,659,830.72
  5. Step 5: Solve for x
    x = 68,051,659,830.72/221,722.40
  6. Step 6: Final answer
    x = 306,922.80

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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.