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Finding the Fourth Proportional to 220,821.20, 331,231.80 and 185,829.20

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Solution

The fourth proportional to 220,821.20, 331,231.80 and 185,829.20 is: 278,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,821.20 : 331,231.80 = 185,829.20 : x
  2. Step 2: Convert to fraction form
    220,821.20/331,231.80 = 185,829.20/x
  3. Step 3: Cross multiply
    220,821.20x = 331,231.80 × 185,829.20
  4. Step 4: Simplify right side
    220,821.20x = 61,552,540,408.56
  5. Step 5: Solve for x
    x = 61,552,540,408.56/220,821.20
  6. Step 6: Final answer
    x = 278,743.80

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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.