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Finding the Fourth Proportional to 321,177.78, 443,207.87 and 177,929.28

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Solution

The fourth proportional to 321,177.78, 443,207.87 and 177,929.28 is: 245,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,177.78 : 443,207.87 = 177,929.28 : x
  2. Step 2: Convert to fraction form
    321,177.78/443,207.87 = 177,929.28/x
  3. Step 3: Cross multiply
    321,177.78x = 443,207.87 × 177,929.28
  4. Step 4: Simplify right side
    321,177.78x = 78,859,657,199.43
  5. Step 5: Solve for x
    x = 78,859,657,199.43/321,177.78
  6. Step 6: Final answer
    x = 245,532.73

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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.