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Finding the Fourth Proportional to 381,886.38, 527,019.89 and 212,120.51

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Solution

The fourth proportional to 381,886.38, 527,019.89 and 212,120.51 is: 292,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,886.38 : 527,019.89 = 212,120.51 : x
  2. Step 2: Convert to fraction form
    381,886.38/527,019.89 = 212,120.51/x
  3. Step 3: Cross multiply
    381,886.38x = 527,019.89 × 212,120.51
  4. Step 4: Simplify right side
    381,886.38x = 111,791,724,151.24
  5. Step 5: Solve for x
    x = 111,791,724,151.24/381,886.38
  6. Step 6: Final answer
    x = 292,735.56

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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.