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Finding the Fourth Proportional to 322,612, 445,204.56 and 181,300

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Solution

The fourth proportional to 322,612, 445,204.56 and 181,300 is: 250,194

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,612 : 445,204.56 = 181,300 : x
  2. Step 2: Convert to fraction form
    322,612/445,204.56 = 181,300/x
  3. Step 3: Cross multiply
    322,612x = 445,204.56 × 181,300
  4. Step 4: Simplify right side
    322,612x = 80,715,586,728
  5. Step 5: Solve for x
    x = 80,715,586,728/322,612
  6. Step 6: Final answer
    x = 250,194

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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.