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Finding the Fourth Proportional to 381,980.12, 527,130.80 and 209,908.78

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Solution

The fourth proportional to 381,980.12, 527,130.80 and 209,908.78 is: 289,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,980.12 : 527,130.80 = 209,908.78 : x
  2. Step 2: Convert to fraction form
    381,980.12/527,130.80 = 209,908.78/x
  3. Step 3: Cross multiply
    381,980.12x = 527,130.80 × 209,908.78
  4. Step 4: Simplify right side
    381,980.12x = 110,649,383,128.42
  5. Step 5: Solve for x
    x = 110,649,383,128.42/381,980.12
  6. Step 6: Final answer
    x = 289,673.15

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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.