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Finding the Fourth Proportional to 321,265.16, 443,348.55 and 178,027.59

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Solution

The fourth proportional to 321,265.16, 443,348.55 and 178,027.59 is: 245,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,265.16 : 443,348.55 = 178,027.59 : x
  2. Step 2: Convert to fraction form
    321,265.16/443,348.55 = 178,027.59/x
  3. Step 3: Cross multiply
    321,265.16x = 443,348.55 × 178,027.59
  4. Step 4: Simplify right side
    321,265.16x = 78,928,273,886.49
  5. Step 5: Solve for x
    x = 78,928,273,886.49/321,265.16
  6. Step 6: Final answer
    x = 245,679.53

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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.