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Finding the Fourth Proportional to 321,633.36, 443,563.56 and 200,785.86

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Solution

The fourth proportional to 321,633.36, 443,563.56 and 200,785.86 is: 276,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,633.36 : 443,563.56 = 200,785.86 : x
  2. Step 2: Convert to fraction form
    321,633.36/443,563.56 = 200,785.86/x
  3. Step 3: Cross multiply
    321,633.36x = 443,563.56 × 200,785.86
  4. Step 4: Simplify right side
    321,633.36x = 89,061,290,859.26
  5. Step 5: Solve for x
    x = 89,061,290,859.26/321,633.36
  6. Step 6: Final answer
    x = 276,903.15

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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.