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Finding the Fourth Proportional to 271,408.89, 407,003.94 and 81,810.57

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Solution

The fourth proportional to 271,408.89, 407,003.94 and 81,810.57 is: 122,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,408.89 : 407,003.94 = 81,810.57 : x
  2. Step 2: Convert to fraction form
    271,408.89/407,003.94 = 81,810.57/x
  3. Step 3: Cross multiply
    271,408.89x = 407,003.94 × 81,810.57
  4. Step 4: Simplify right side
    271,408.89x = 33,297,224,323.65
  5. Step 5: Solve for x
    x = 33,297,224,323.65/271,408.89
  6. Step 6: Final answer
    x = 122,682.88

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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.