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Finding the Fourth Proportional to 381,138.96, 525,958.52 and 211,388.88

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Solution

The fourth proportional to 381,138.96, 525,958.52 and 211,388.88 is: 291,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,138.96 : 525,958.52 = 211,388.88 : x
  2. Step 2: Convert to fraction form
    381,138.96/525,958.52 = 211,388.88/x
  3. Step 3: Cross multiply
    381,138.96x = 525,958.52 × 211,388.88
  4. Step 4: Simplify right side
    381,138.96x = 111,181,782,469.26
  5. Step 5: Solve for x
    x = 111,181,782,469.26/381,138.96
  6. Step 6: Final answer
    x = 291,709.31

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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.