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Finding the Fourth Proportional to 381,794.31, 526,861.70 and 212,039.37

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Solution

The fourth proportional to 381,794.31, 526,861.70 and 212,039.37 is: 292,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,794.31 : 526,861.70 = 212,039.37 : x
  2. Step 2: Convert to fraction form
    381,794.31/526,861.70 = 212,039.37/x
  3. Step 3: Cross multiply
    381,794.31x = 526,861.70 × 212,039.37
  4. Step 4: Simplify right side
    381,794.31x = 111,715,422,945.13
  5. Step 5: Solve for x
    x = 111,715,422,945.13/381,794.31
  6. Step 6: Final answer
    x = 292,606.31

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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.