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Finding the Fourth Proportional to 322,600, 445,188 and 181,288

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Solution

The fourth proportional to 322,600, 445,188 and 181,288 is: 250,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,600 : 445,188 = 181,288 : x
  2. Step 2: Convert to fraction form
    322,600/445,188 = 181,288/x
  3. Step 3: Cross multiply
    322,600x = 445,188 × 181,288
  4. Step 4: Simplify right side
    322,600x = 80,707,242,144
  5. Step 5: Solve for x
    x = 80,707,242,144/322,600
  6. Step 6: Final answer
    x = 250,177.44

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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.