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Finding the Fourth Proportional to 381,905.88, 571,986.16 and 182,366

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Solution

The fourth proportional to 381,905.88, 571,986.16 and 182,366 is: 273,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,905.88 : 571,986.16 = 182,366 : x
  2. Step 2: Convert to fraction form
    381,905.88/571,986.16 = 182,366/x
  3. Step 3: Cross multiply
    381,905.88x = 571,986.16 × 182,366
  4. Step 4: Simplify right side
    381,905.88x = 104,310,828,054.56
  5. Step 5: Solve for x
    x = 104,310,828,054.56/381,905.88
  6. Step 6: Final answer
    x = 273,132.29

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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.