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Finding the Fourth Proportional to 321,811.47, 444,186 and 200,879.96

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Solution

The fourth proportional to 321,811.47, 444,186 and 200,879.96 is: 277,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,811.47 : 444,186 = 200,879.96 : x
  2. Step 2: Convert to fraction form
    321,811.47/444,186 = 200,879.96/x
  3. Step 3: Cross multiply
    321,811.47x = 444,186 × 200,879.96
  4. Step 4: Simplify right side
    321,811.47x = 89,228,063,691.63
  5. Step 5: Solve for x
    x = 89,228,063,691.63/321,811.47
  6. Step 6: Final answer
    x = 277,268.13

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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.