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Finding the Fourth Proportional to 321,287.17, 443,577.89 and 206,764.84

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Solution

The fourth proportional to 321,287.17, 443,577.89 and 206,764.84 is: 285,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,287.17 : 443,577.89 = 206,764.84 : x
  2. Step 2: Convert to fraction form
    321,287.17/443,577.89 = 206,764.84/x
  3. Step 3: Cross multiply
    321,287.17x = 443,577.89 × 206,764.84
  4. Step 4: Simplify right side
    321,287.17x = 91,716,308,201.67
  5. Step 5: Solve for x
    x = 91,716,308,201.67/321,287.17
  6. Step 6: Final answer
    x = 285,465.21

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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.