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Finding the Fourth Proportional to 381,081.85, 525,892.95 and 211,315.97

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Solution

The fourth proportional to 381,081.85, 525,892.95 and 211,315.97 is: 291,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,081.85 : 525,892.95 = 211,315.97 : x
  2. Step 2: Convert to fraction form
    381,081.85/525,892.95 = 211,315.97/x
  3. Step 3: Cross multiply
    381,081.85x = 525,892.95 × 211,315.97
  4. Step 4: Simplify right side
    381,081.85x = 111,129,578,902.26
  5. Step 5: Solve for x
    x = 111,129,578,902.26/381,081.85
  6. Step 6: Final answer
    x = 291,616.04

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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.