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Finding the Fourth Proportional to 381,344.78, 526,243.28 and 211,591.46

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Solution

The fourth proportional to 381,344.78, 526,243.28 and 211,591.46 is: 291,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,344.78 : 526,243.28 = 211,591.46 : x
  2. Step 2: Convert to fraction form
    381,344.78/526,243.28 = 211,591.46/x
  3. Step 3: Cross multiply
    381,344.78x = 526,243.28 × 211,591.46
  4. Step 4: Simplify right side
    381,344.78x = 111,348,583,930.39
  5. Step 5: Solve for x
    x = 111,348,583,930.39/381,344.78
  6. Step 6: Final answer
    x = 291,989.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.