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Finding the Fourth Proportional to 281,249.89, 422,009.12 and 131,468.42

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Solution

The fourth proportional to 281,249.89, 422,009.12 and 131,468.42 is: 197,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,249.89 : 422,009.12 = 131,468.42 : x
  2. Step 2: Convert to fraction form
    281,249.89/422,009.12 = 131,468.42/x
  3. Step 3: Cross multiply
    281,249.89x = 422,009.12 × 131,468.42
  4. Step 4: Simplify right side
    281,249.89x = 55,480,871,241.88
  5. Step 5: Solve for x
    x = 55,480,871,241.88/281,249.89
  6. Step 6: Final answer
    x = 197,265.40

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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.