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Finding the Fourth Proportional to 321,607.04, 443,672.15 and 200,778.12

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Solution

The fourth proportional to 321,607.04, 443,672.15 and 200,778.12 is: 276,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,607.04 : 443,672.15 = 200,778.12 : x
  2. Step 2: Convert to fraction form
    321,607.04/443,672.15 = 200,778.12/x
  3. Step 3: Cross multiply
    321,607.04x = 443,672.15 × 200,778.12
  4. Step 4: Simplify right side
    321,607.04x = 89,079,659,169.47
  5. Step 5: Solve for x
    x = 89,079,659,169.47/321,607.04
  6. Step 6: Final answer
    x = 276,982.93

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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.