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Finding the Fourth Proportional to 381,134.61, 571,584.86 and 263,561.49

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Solution

The fourth proportional to 381,134.61, 571,584.86 and 263,561.49 is: 395,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,134.61 : 571,584.86 = 263,561.49 : x
  2. Step 2: Convert to fraction form
    381,134.61/571,584.86 = 263,561.49/x
  3. Step 3: Cross multiply
    381,134.61x = 571,584.86 × 263,561.49
  4. Step 4: Simplify right side
    381,134.61x = 150,647,755,164.02
  5. Step 5: Solve for x
    x = 150,647,755,164.02/381,134.61
  6. Step 6: Final answer
    x = 395,261.29

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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.