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Finding the Fourth Proportional to 321,265.25, 443,348.68 and 178,027.68

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Solution

The fourth proportional to 321,265.25, 443,348.68 and 178,027.68 is: 245,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,265.25 : 443,348.68 = 178,027.68 : x
  2. Step 2: Convert to fraction form
    321,265.25/443,348.68 = 178,027.68/x
  3. Step 3: Cross multiply
    321,265.25x = 443,348.68 × 178,027.68
  4. Step 4: Simplify right side
    321,265.25x = 78,928,336,820.20
  5. Step 5: Solve for x
    x = 78,928,336,820.20/321,265.25
  6. Step 6: Final answer
    x = 245,679.66

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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.