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Finding the Fourth Proportional to 376,806, 519,993.18 and 204,724.56

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Solution

The fourth proportional to 376,806, 519,993.18 and 204,724.56 is: 282,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,806 : 519,993.18 = 204,724.56 : x
  2. Step 2: Convert to fraction form
    376,806/519,993.18 = 204,724.56/x
  3. Step 3: Cross multiply
    376,806x = 519,993.18 × 204,724.56
  4. Step 4: Simplify right side
    376,806x = 106,455,374,978.50
  5. Step 5: Solve for x
    x = 106,455,374,978.50/376,806
  6. Step 6: Final answer
    x = 282,520.38

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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.