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Finding the Fourth Proportional to 321,517.84, 482,178.22 and 222,315.52

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Solution

The fourth proportional to 321,517.84, 482,178.22 and 222,315.52 is: 333,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,517.84 : 482,178.22 = 222,315.52 : x
  2. Step 2: Convert to fraction form
    321,517.84/482,178.22 = 222,315.52/x
  3. Step 3: Cross multiply
    321,517.84x = 482,178.22 × 222,315.52
  4. Step 4: Simplify right side
    321,517.84x = 107,195,701,711.97
  5. Step 5: Solve for x
    x = 107,195,701,711.97/321,517.84
  6. Step 6: Final answer
    x = 333,405.14

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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.