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Finding the Fourth Proportional to 321,634.36, 443,564.94 and 200,786.86

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Solution

The fourth proportional to 321,634.36, 443,564.94 and 200,786.86 is: 276,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,634.36 : 443,564.94 = 200,786.86 : x
  2. Step 2: Convert to fraction form
    321,634.36/443,564.94 = 200,786.86/x
  3. Step 3: Cross multiply
    321,634.36x = 443,564.94 × 200,786.86
  4. Step 4: Simplify right side
    321,634.36x = 89,062,011,508.69
  5. Step 5: Solve for x
    x = 89,062,011,508.69/321,634.36
  6. Step 6: Final answer
    x = 276,904.53

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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.