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Finding the Fourth Proportional to 281,753.74, 422,408.26 and 139,647.95

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Solution

The fourth proportional to 281,753.74, 422,408.26 and 139,647.95 is: 209,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,753.74 : 422,408.26 = 139,647.95 : x
  2. Step 2: Convert to fraction form
    281,753.74/422,408.26 = 139,647.95/x
  3. Step 3: Cross multiply
    281,753.74x = 422,408.26 × 139,647.95
  4. Step 4: Simplify right side
    281,753.74x = 58,988,444,761.79
  5. Step 5: Solve for x
    x = 58,988,444,761.79/281,753.74
  6. Step 6: Final answer
    x = 209,361.71

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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.