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Finding the Fourth Proportional to 281,638.86, 422,454.54 and 68,408.52

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Solution

The fourth proportional to 281,638.86, 422,454.54 and 68,408.52 is: 102,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,638.86 : 422,454.54 = 68,408.52 : x
  2. Step 2: Convert to fraction form
    281,638.86/422,454.54 = 68,408.52/x
  3. Step 3: Cross multiply
    281,638.86x = 422,454.54 × 68,408.52
  4. Step 4: Simplify right side
    281,638.86x = 28,899,489,848.68
  5. Step 5: Solve for x
    x = 28,899,489,848.68/281,638.86
  6. Step 6: Final answer
    x = 102,611.87

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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.