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Finding the Fourth Proportional to 381,375, 571,663.32 and 128,568.12

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Solution

The fourth proportional to 381,375, 571,663.32 and 128,568.12 is: 192,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,375 : 571,663.32 = 128,568.12 : x
  2. Step 2: Convert to fraction form
    381,375/571,663.32 = 128,568.12/x
  3. Step 3: Cross multiply
    381,375x = 571,663.32 × 128,568.12
  4. Step 4: Simplify right side
    381,375x = 73,497,678,325.36
  5. Step 5: Solve for x
    x = 73,497,678,325.36/381,375
  6. Step 6: Final answer
    x = 192,717.61

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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.