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Finding the Fourth Proportional to 322,616.99, 445,222.88 and 177,434

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Solution

The fourth proportional to 322,616.99, 445,222.88 and 177,434 is: 244,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,616.99 : 445,222.88 = 177,434 : x
  2. Step 2: Convert to fraction form
    322,616.99/445,222.88 = 177,434/x
  3. Step 3: Cross multiply
    322,616.99x = 445,222.88 × 177,434
  4. Step 4: Simplify right side
    322,616.99x = 78,997,676,489.92
  5. Step 5: Solve for x
    x = 78,997,676,489.92/322,616.99
  6. Step 6: Final answer
    x = 244,865.21

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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.