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Finding the Fourth Proportional to 381,159.44, 571,791.95 and 128,512.25

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Solution

The fourth proportional to 381,159.44, 571,791.95 and 128,512.25 is: 192,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,159.44 : 571,791.95 = 128,512.25 : x
  2. Step 2: Convert to fraction form
    381,159.44/571,791.95 = 128,512.25/x
  3. Step 3: Cross multiply
    381,159.44x = 571,791.95 × 128,512.25
  4. Step 4: Simplify right side
    381,159.44x = 73,482,266,524.87
  5. Step 5: Solve for x
    x = 73,482,266,524.87/381,159.44
  6. Step 6: Final answer
    x = 192,786.17

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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.