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Finding the Fourth Proportional to 463,576.68, 639,713.70 and 284,694.12

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Solution

The fourth proportional to 463,576.68, 639,713.70 and 284,694.12 is: 392,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,576.68 : 639,713.70 = 284,694.12 : x
  2. Step 2: Convert to fraction form
    463,576.68/639,713.70 = 284,694.12/x
  3. Step 3: Cross multiply
    463,576.68x = 639,713.70 × 284,694.12
  4. Step 4: Simplify right side
    463,576.68x = 182,122,728,873.44
  5. Step 5: Solve for x
    x = 182,122,728,873.44/463,576.68
  6. Step 6: Final answer
    x = 392,864.30

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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.