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Finding the Fourth Proportional to 321,449.36, 443,439.54 and 205,217.15

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Solution

The fourth proportional to 321,449.36, 443,439.54 and 205,217.15 is: 283,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,449.36 : 443,439.54 = 205,217.15 : x
  2. Step 2: Convert to fraction form
    321,449.36/443,439.54 = 205,217.15/x
  3. Step 3: Cross multiply
    321,449.36x = 443,439.54 × 205,217.15
  4. Step 4: Simplify right side
    321,449.36x = 91,001,395,801.74
  5. Step 5: Solve for x
    x = 91,001,395,801.74/321,449.36
  6. Step 6: Final answer
    x = 283,097.14

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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.