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Finding the Fourth Proportional to 463,469.58, 639,239.85 and 310,680.09

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Solution

The fourth proportional to 463,469.58, 639,239.85 and 310,680.09 is: 428,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,469.58 : 639,239.85 = 310,680.09 : x
  2. Step 2: Convert to fraction form
    463,469.58/639,239.85 = 310,680.09/x
  3. Step 3: Cross multiply
    463,469.58x = 639,239.85 × 310,680.09
  4. Step 4: Simplify right side
    463,469.58x = 198,599,094,129.59
  5. Step 5: Solve for x
    x = 198,599,094,129.59/463,469.58
  6. Step 6: Final answer
    x = 428,505.13

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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.