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Finding the Fourth Proportional to 281,639.32, 422,454.30 and 68,408.98

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Solution

The fourth proportional to 281,639.32, 422,454.30 and 68,408.98 is: 102,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,639.32 : 422,454.30 = 68,408.98 : x
  2. Step 2: Convert to fraction form
    281,639.32/422,454.30 = 68,408.98/x
  3. Step 3: Cross multiply
    281,639.32x = 422,454.30 × 68,408.98
  4. Step 4: Simplify right side
    281,639.32x = 28,899,667,759.61
  5. Step 5: Solve for x
    x = 28,899,667,759.61/281,639.32
  6. Step 6: Final answer
    x = 102,612.33

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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.