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Finding the Fourth Proportional to 456,996.84, 685,635.39 and 204,489.90

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Solution

The fourth proportional to 456,996.84, 685,635.39 and 204,489.90 is: 306,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,996.84 : 685,635.39 = 204,489.90 : x
  2. Step 2: Convert to fraction form
    456,996.84/685,635.39 = 204,489.90/x
  3. Step 3: Cross multiply
    456,996.84x = 685,635.39 × 204,489.90
  4. Step 4: Simplify right side
    456,996.84x = 140,205,512,337.56
  5. Step 5: Solve for x
    x = 140,205,512,337.56/456,996.84
  6. Step 6: Final answer
    x = 306,797.55

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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.