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Finding the Fourth Proportional to 376,505.88, 519,581.75 and 206,743.65

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Solution

The fourth proportional to 376,505.88, 519,581.75 and 206,743.65 is: 285,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,505.88 : 519,581.75 = 206,743.65 : x
  2. Step 2: Convert to fraction form
    376,505.88/519,581.75 = 206,743.65/x
  3. Step 3: Cross multiply
    376,505.88x = 519,581.75 × 206,743.65
  4. Step 4: Simplify right side
    376,505.88x = 107,420,227,468.39
  5. Step 5: Solve for x
    x = 107,420,227,468.39/376,505.88
  6. Step 6: Final answer
    x = 285,308.23

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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.