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Finding the Fourth Proportional to 381,964.98, 527,121.06 and 209,881.56

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Solution

The fourth proportional to 381,964.98, 527,121.06 and 209,881.56 is: 289,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,964.98 : 527,121.06 = 209,881.56 : x
  2. Step 2: Convert to fraction form
    381,964.98/527,121.06 = 209,881.56/x
  3. Step 3: Cross multiply
    381,964.98x = 527,121.06 × 209,881.56
  4. Step 4: Simplify right side
    381,964.98x = 110,632,990,381.65
  5. Step 5: Solve for x
    x = 110,632,990,381.65/381,964.98
  6. Step 6: Final answer
    x = 289,641.71

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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.