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Finding the Fourth Proportional to 381,081.78, 525,892.87 and 211,315.91

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Solution

The fourth proportional to 381,081.78, 525,892.87 and 211,315.91 is: 291,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,081.78 : 525,892.87 = 211,315.91 : x
  2. Step 2: Convert to fraction form
    381,081.78/525,892.87 = 211,315.91/x
  3. Step 3: Cross multiply
    381,081.78x = 525,892.87 × 211,315.91
  4. Step 4: Simplify right side
    381,081.78x = 111,129,530,386.56
  5. Step 5: Solve for x
    x = 111,129,530,386.56/381,081.78
  6. Step 6: Final answer
    x = 291,615.96

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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.