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Finding the Fourth Proportional to 321,269.34, 443,354.31 and 178,031.78

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Solution

The fourth proportional to 321,269.34, 443,354.31 and 178,031.78 is: 245,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,269.34 : 443,354.31 = 178,031.78 : x
  2. Step 2: Convert to fraction form
    321,269.34/443,354.31 = 178,031.78/x
  3. Step 3: Cross multiply
    321,269.34x = 443,354.31 × 178,031.78
  4. Step 4: Simplify right side
    321,269.34x = 78,931,155,208.28
  5. Step 5: Solve for x
    x = 78,931,155,208.28/321,269.34
  6. Step 6: Final answer
    x = 245,685.30

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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.