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Finding the Fourth Proportional to 321,284.78, 443,375.56 and 178,047.20

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Solution

The fourth proportional to 321,284.78, 443,375.56 and 178,047.20 is: 245,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,284.78 : 443,375.56 = 178,047.20 : x
  2. Step 2: Convert to fraction form
    321,284.78/443,375.56 = 178,047.20/x
  3. Step 3: Cross multiply
    321,284.78x = 443,375.56 × 178,047.20
  4. Step 4: Simplify right side
    321,284.78x = 78,941,774,344.44
  5. Step 5: Solve for x
    x = 78,941,774,344.44/321,284.78
  6. Step 6: Final answer
    x = 245,706.55

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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.