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Finding the Fourth Proportional to 321,335.16, 443,425.44 and 185,361

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Solution

The fourth proportional to 321,335.16, 443,425.44 and 185,361 is: 255,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,335.16 : 443,425.44 = 185,361 : x
  2. Step 2: Convert to fraction form
    321,335.16/443,425.44 = 185,361/x
  3. Step 3: Cross multiply
    321,335.16x = 443,425.44 × 185,361
  4. Step 4: Simplify right side
    321,335.16x = 82,193,782,983.84
  5. Step 5: Solve for x
    x = 82,193,782,983.84/321,335.16
  6. Step 6: Final answer
    x = 255,788.33

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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.