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Finding the Fourth Proportional to 498,443.97, 687,843.88 and 283,579.42

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Solution

The fourth proportional to 498,443.97, 687,843.88 and 283,579.42 is: 391,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,443.97 : 687,843.88 = 283,579.42 : x
  2. Step 2: Convert to fraction form
    498,443.97/687,843.88 = 283,579.42/x
  3. Step 3: Cross multiply
    498,443.97x = 687,843.88 × 283,579.42
  4. Step 4: Simplify right side
    498,443.97x = 195,058,368,540.95
  5. Step 5: Solve for x
    x = 195,058,368,540.95/498,443.97
  6. Step 6: Final answer
    x = 391,334.59

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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.