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Finding the Fourth Proportional to 381,978, 527,139.02 and 209,894.56

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Solution

The fourth proportional to 381,978, 527,139.02 and 209,894.56 is: 289,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,978 : 527,139.02 = 209,894.56 : x
  2. Step 2: Convert to fraction form
    381,978/527,139.02 = 209,894.56/x
  3. Step 3: Cross multiply
    381,978x = 527,139.02 × 209,894.56
  4. Step 4: Simplify right side
    381,978x = 110,643,612,661.73
  5. Step 5: Solve for x
    x = 110,643,612,661.73/381,978
  6. Step 6: Final answer
    x = 289,659.65

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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.