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Finding the Fourth Proportional to 376,504.88, 519,580.37 and 206,742.65

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Solution

The fourth proportional to 376,504.88, 519,580.37 and 206,742.65 is: 285,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,504.88 : 519,580.37 = 206,742.65 : x
  2. Step 2: Convert to fraction form
    376,504.88/519,580.37 = 206,742.65/x
  3. Step 3: Cross multiply
    376,504.88x = 519,580.37 × 206,742.65
  4. Step 4: Simplify right side
    376,504.88x = 107,419,420,500.74
  5. Step 5: Solve for x
    x = 107,419,420,500.74/376,504.88
  6. Step 6: Final answer
    x = 285,306.85

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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.