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Finding the Fourth Proportional to 281,745.14, 422,462.19 and 115,649.78

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Solution

The fourth proportional to 281,745.14, 422,462.19 and 115,649.78 is: 173,410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,745.14 : 422,462.19 = 115,649.78 : x
  2. Step 2: Convert to fraction form
    281,745.14/422,462.19 = 115,649.78/x
  3. Step 3: Cross multiply
    281,745.14x = 422,462.19 × 115,649.78
  4. Step 4: Simplify right side
    281,745.14x = 48,857,659,331.82
  5. Step 5: Solve for x
    x = 48,857,659,331.82/281,745.14
  6. Step 6: Final answer
    x = 173,410.83

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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.