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Finding the Fourth Proportional to 381,918.59, 527,049.15 and 209,850.50

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Solution

The fourth proportional to 381,918.59, 527,049.15 and 209,850.50 is: 289,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,918.59 : 527,049.15 = 209,850.50 : x
  2. Step 2: Convert to fraction form
    381,918.59/527,049.15 = 209,850.50/x
  3. Step 3: Cross multiply
    381,918.59x = 527,049.15 × 209,850.50
  4. Step 4: Simplify right side
    381,918.59x = 110,601,527,652.08
  5. Step 5: Solve for x
    x = 110,601,527,652.08/381,918.59
  6. Step 6: Final answer
    x = 289,594.51

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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.