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Finding the Fourth Proportional to 321,265.08, 443,348.42 and 178,027.52

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Solution

The fourth proportional to 321,265.08, 443,348.42 and 178,027.52 is: 245,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,265.08 : 443,348.42 = 178,027.52 : x
  2. Step 2: Convert to fraction form
    321,265.08/443,348.42 = 178,027.52/x
  3. Step 3: Cross multiply
    321,265.08x = 443,348.42 × 178,027.52
  4. Step 4: Simplify right side
    321,265.08x = 78,928,219,708.52
  5. Step 5: Solve for x
    x = 78,928,219,708.52/321,265.08
  6. Step 6: Final answer
    x = 245,679.42

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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.