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Finding the Fourth Proportional to 283,517.82, 425,540.25 and 143,377.02

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Solution

The fourth proportional to 283,517.82, 425,540.25 and 143,377.02 is: 215,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,517.82 : 425,540.25 = 143,377.02 : x
  2. Step 2: Convert to fraction form
    283,517.82/425,540.25 = 143,377.02/x
  3. Step 3: Cross multiply
    283,517.82x = 425,540.25 × 143,377.02
  4. Step 4: Simplify right side
    283,517.82x = 61,012,692,935.06
  5. Step 5: Solve for x
    x = 61,012,692,935.06/283,517.82
  6. Step 6: Final answer
    x = 215,198.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.