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Finding the Fourth Proportional to 321,335.44, 482,103.92 and 193,391.32

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Solution

The fourth proportional to 321,335.44, 482,103.92 and 193,391.32 is: 290,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,335.44 : 482,103.92 = 193,391.32 : x
  2. Step 2: Convert to fraction form
    321,335.44/482,103.92 = 193,391.32/x
  3. Step 3: Cross multiply
    321,335.44x = 482,103.92 × 193,391.32
  4. Step 4: Simplify right side
    321,335.44x = 93,234,713,465.97
  5. Step 5: Solve for x
    x = 93,234,713,465.97/321,335.44
  6. Step 6: Final answer
    x = 290,147.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.