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Finding the Fourth Proportional to 463,469.33, 639,239.50 and 310,679.84

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Solution

The fourth proportional to 463,469.33, 639,239.50 and 310,679.84 is: 428,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,469.33 : 639,239.50 = 310,679.84 : x
  2. Step 2: Convert to fraction form
    463,469.33/639,239.50 = 310,679.84/x
  3. Step 3: Cross multiply
    463,469.33x = 639,239.50 × 310,679.84
  4. Step 4: Simplify right side
    463,469.33x = 198,598,825,581.68
  5. Step 5: Solve for x
    x = 198,598,825,581.68/463,469.33
  6. Step 6: Final answer
    x = 428,504.78

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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.