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Finding the Fourth Proportional to 321,641.80, 443,575.12 and 200,794.21

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Solution

The fourth proportional to 321,641.80, 443,575.12 and 200,794.21 is: 276,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,641.80 : 443,575.12 = 200,794.21 : x
  2. Step 2: Convert to fraction form
    321,641.80/443,575.12 = 200,794.21/x
  3. Step 3: Cross multiply
    321,641.80x = 443,575.12 × 200,794.21
  4. Step 4: Simplify right side
    321,641.80x = 89,067,313,076.19
  5. Step 5: Solve for x
    x = 89,067,313,076.19/321,641.80
  6. Step 6: Final answer
    x = 276,914.61

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1.5x scale

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.