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Finding the Fourth Proportional to 381,884.97, 527,017.94 and 212,119.10

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Solution

The fourth proportional to 381,884.97, 527,017.94 and 212,119.10 is: 292,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,884.97 : 527,017.94 = 212,119.10 : x
  2. Step 2: Convert to fraction form
    381,884.97/527,017.94 = 212,119.10/x
  3. Step 3: Cross multiply
    381,884.97x = 527,017.94 × 212,119.10
  4. Step 4: Simplify right side
    381,884.97x = 111,790,571,385.90
  5. Step 5: Solve for x
    x = 111,790,571,385.90/381,884.97
  6. Step 6: Final answer
    x = 292,733.62

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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.