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Finding the Fourth Proportional to 381,979.91, 527,132.16 and 209,908.97

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Solution

The fourth proportional to 381,979.91, 527,132.16 and 209,908.97 is: 289,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,979.91 : 527,132.16 = 209,908.97 : x
  2. Step 2: Convert to fraction form
    381,979.91/527,132.16 = 209,908.97/x
  3. Step 3: Cross multiply
    381,979.91x = 527,132.16 × 209,908.97
  4. Step 4: Simplify right side
    381,979.91x = 110,649,768,759.48
  5. Step 5: Solve for x
    x = 110,649,768,759.48/381,979.91
  6. Step 6: Final answer
    x = 289,674.31

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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.