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Finding the Fourth Proportional to 376,086.29, 518,967.95 and 206,320.41

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Solution

The fourth proportional to 376,086.29, 518,967.95 and 206,320.41 is: 284,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,086.29 : 518,967.95 = 206,320.41 : x
  2. Step 2: Convert to fraction form
    376,086.29/518,967.95 = 206,320.41/x
  3. Step 3: Cross multiply
    376,086.29x = 518,967.95 × 206,320.41
  4. Step 4: Simplify right side
    376,086.29x = 107,073,679,189.26
  5. Step 5: Solve for x
    x = 107,073,679,189.26/376,086.29
  6. Step 6: Final answer
    x = 284,705.09

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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.