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Finding the Fourth Proportional to 274,255.81, 411,190.53 and 105,634.87

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Solution

The fourth proportional to 274,255.81, 411,190.53 and 105,634.87 is: 158,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,255.81 : 411,190.53 = 105,634.87 : x
  2. Step 2: Convert to fraction form
    274,255.81/411,190.53 = 105,634.87/x
  3. Step 3: Cross multiply
    274,255.81x = 411,190.53 × 105,634.87
  4. Step 4: Simplify right side
    274,255.81x = 43,436,058,181.78
  5. Step 5: Solve for x
    x = 43,436,058,181.78/274,255.81
  6. Step 6: Final answer
    x = 158,377.90

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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.