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Finding the Fourth Proportional to 635,146.56, 952,796.88 and 280,249.92

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Solution

The fourth proportional to 635,146.56, 952,796.88 and 280,249.92 is: 420,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,146.56 : 952,796.88 = 280,249.92 : x
  2. Step 2: Convert to fraction form
    635,146.56/952,796.88 = 280,249.92/x
  3. Step 3: Cross multiply
    635,146.56x = 952,796.88 × 280,249.92
  4. Step 4: Simplify right side
    635,146.56x = 267,021,249,396.25
  5. Step 5: Solve for x
    x = 267,021,249,396.25/635,146.56
  6. Step 6: Final answer
    x = 420,408.87

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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.