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Finding the Fourth Proportional to 463,767.80, 639,998.15 and 257,049.39

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Solution

The fourth proportional to 463,767.80, 639,998.15 and 257,049.39 is: 354,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,767.80 : 639,998.15 = 257,049.39 : x
  2. Step 2: Convert to fraction form
    463,767.80/639,998.15 = 257,049.39/x
  3. Step 3: Cross multiply
    463,767.80x = 639,998.15 × 257,049.39
  4. Step 4: Simplify right side
    463,767.80x = 164,511,134,058.63
  5. Step 5: Solve for x
    x = 164,511,134,058.63/463,767.80
  6. Step 6: Final answer
    x = 354,727.37

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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.