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Finding the Fourth Proportional to 321,227.36, 443,281.80 and 185,267

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Solution

The fourth proportional to 321,227.36, 443,281.80 and 185,267 is: 255,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,227.36 : 443,281.80 = 185,267 : x
  2. Step 2: Convert to fraction form
    321,227.36/443,281.80 = 185,267/x
  3. Step 3: Cross multiply
    321,227.36x = 443,281.80 × 185,267
  4. Step 4: Simplify right side
    321,227.36x = 82,125,489,240.60
  5. Step 5: Solve for x
    x = 82,125,489,240.60/321,227.36
  6. Step 6: Final answer
    x = 255,661.56

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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.