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Finding the Fourth Proportional to 321,267, 443,351.09 and 178,029.43

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Solution

The fourth proportional to 321,267, 443,351.09 and 178,029.43 is: 245,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,267 : 443,351.09 = 178,029.43 : x
  2. Step 2: Convert to fraction form
    321,267/443,351.09 = 178,029.43/x
  3. Step 3: Cross multiply
    321,267x = 443,351.09 × 178,029.43
  4. Step 4: Simplify right side
    321,267x = 78,929,541,842.58
  5. Step 5: Solve for x
    x = 78,929,541,842.58/321,267
  6. Step 6: Final answer
    x = 245,682.07

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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.