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Finding the Fourth Proportional to 381,279, 571,918.50 and 100,796.25

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Solution

The fourth proportional to 381,279, 571,918.50 and 100,796.25 is: 151,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,279 : 571,918.50 = 100,796.25 : x
  2. Step 2: Convert to fraction form
    381,279/571,918.50 = 100,796.25/x
  3. Step 3: Cross multiply
    381,279x = 571,918.50 × 100,796.25
  4. Step 4: Simplify right side
    381,279x = 57,647,240,105.63
  5. Step 5: Solve for x
    x = 57,647,240,105.63/381,279
  6. Step 6: Final answer
    x = 151,194.38

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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.