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Finding the Fourth Proportional to 229,321.20, 343,981.80 and 220,135.80

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Solution

The fourth proportional to 229,321.20, 343,981.80 and 220,135.80 is: 330,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,321.20 : 343,981.80 = 220,135.80 : x
  2. Step 2: Convert to fraction form
    229,321.20/343,981.80 = 220,135.80/x
  3. Step 3: Cross multiply
    229,321.20x = 343,981.80 × 220,135.80
  4. Step 4: Simplify right side
    229,321.20x = 75,722,708,728.44
  5. Step 5: Solve for x
    x = 75,722,708,728.44/229,321.20
  6. Step 6: Final answer
    x = 330,203.70

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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.