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Finding the Fourth Proportional to 321,788.36, 443,953.10 and 200,883.74

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Solution

The fourth proportional to 321,788.36, 443,953.10 and 200,883.74 is: 277,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,788.36 : 443,953.10 = 200,883.74 : x
  2. Step 2: Convert to fraction form
    321,788.36/443,953.10 = 200,883.74/x
  3. Step 3: Cross multiply
    321,788.36x = 443,953.10 × 200,883.74
  4. Step 4: Simplify right side
    321,788.36x = 89,182,959,112.59
  5. Step 5: Solve for x
    x = 89,182,959,112.59/321,788.36
  6. Step 6: Final answer
    x = 277,147.87

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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.