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Finding the Fourth Proportional to 306,745.20, 423,198.82 and 177,613.20

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Solution

The fourth proportional to 306,745.20, 423,198.82 and 177,613.20 is: 245,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,745.20 : 423,198.82 = 177,613.20 : x
  2. Step 2: Convert to fraction form
    306,745.20/423,198.82 = 177,613.20/x
  3. Step 3: Cross multiply
    306,745.20x = 423,198.82 × 177,613.20
  4. Step 4: Simplify right side
    306,745.20x = 75,165,696,656.42
  5. Step 5: Solve for x
    x = 75,165,696,656.42/306,745.20
  6. Step 6: Final answer
    x = 245,042.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.