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Finding the Fourth Proportional to 321,138.53, 442,654.67 and 217,739.24

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Solution

The fourth proportional to 321,138.53, 442,654.67 and 217,739.24 is: 300,129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,138.53 : 442,654.67 = 217,739.24 : x
  2. Step 2: Convert to fraction form
    321,138.53/442,654.67 = 217,739.24/x
  3. Step 3: Cross multiply
    321,138.53x = 442,654.67 × 217,739.24
  4. Step 4: Simplify right side
    321,138.53x = 96,383,290,194.50
  5. Step 5: Solve for x
    x = 96,383,290,194.50/321,138.53
  6. Step 6: Final answer
    x = 300,129.95

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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.