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Finding the Fourth Proportional to 321,508.82, 482,164.74 and 222,306.50

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Solution

The fourth proportional to 321,508.82, 482,164.74 and 222,306.50 is: 333,391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,508.82 : 482,164.74 = 222,306.50 : x
  2. Step 2: Convert to fraction form
    321,508.82/482,164.74 = 222,306.50/x
  3. Step 3: Cross multiply
    321,508.82x = 482,164.74 × 222,306.50
  4. Step 4: Simplify right side
    321,508.82x = 107,188,354,661.28
  5. Step 5: Solve for x
    x = 107,188,354,661.28/321,508.82
  6. Step 6: Final answer
    x = 333,391.65

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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.