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Finding the Fourth Proportional to 271,916, 375,235.94 and 149,408.16

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Solution

The fourth proportional to 271,916, 375,235.94 and 149,408.16 is: 206,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,916 : 375,235.94 = 149,408.16 : x
  2. Step 2: Convert to fraction form
    271,916/375,235.94 = 149,408.16/x
  3. Step 3: Cross multiply
    271,916x = 375,235.94 × 149,408.16
  4. Step 4: Simplify right side
    271,916x = 56,063,311,361.27
  5. Step 5: Solve for x
    x = 56,063,311,361.27/271,916
  6. Step 6: Final answer
    x = 206,178.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.