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Finding the Fourth Proportional to 381,979.12, 527,129.42 and 209,907.78

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Solution

The fourth proportional to 381,979.12, 527,129.42 and 209,907.78 is: 289,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,979.12 : 527,129.42 = 209,907.78 : x
  2. Step 2: Convert to fraction form
    381,979.12/527,129.42 = 209,907.78/x
  3. Step 3: Cross multiply
    381,979.12x = 527,129.42 × 209,907.78
  4. Step 4: Simplify right side
    381,979.12x = 110,648,566,849.66
  5. Step 5: Solve for x
    x = 110,648,566,849.66/381,979.12
  6. Step 6: Final answer
    x = 289,671.77

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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.