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Finding the Fourth Proportional to 321,507.70, 482,163.05 and 222,305.38

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Solution

The fourth proportional to 321,507.70, 482,163.05 and 222,305.38 is: 333,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,507.70 : 482,163.05 = 222,305.38 : x
  2. Step 2: Convert to fraction form
    321,507.70/482,163.05 = 222,305.38/x
  3. Step 3: Cross multiply
    321,507.70x = 482,163.05 × 222,305.38
  4. Step 4: Simplify right side
    321,507.70x = 107,187,437,641.39
  5. Step 5: Solve for x
    x = 107,187,437,641.39/321,507.70
  6. Step 6: Final answer
    x = 333,389.96

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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.