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Finding the Fourth Proportional to 375,744.87, 518,524.88 and 205,978.59

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Solution

The fourth proportional to 375,744.87, 518,524.88 and 205,978.59 is: 284,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,744.87 : 518,524.88 = 205,978.59 : x
  2. Step 2: Convert to fraction form
    375,744.87/518,524.88 = 205,978.59/x
  3. Step 3: Cross multiply
    375,744.87x = 518,524.88 × 205,978.59
  4. Step 4: Simplify right side
    375,744.87x = 106,805,022,632.43
  5. Step 5: Solve for x
    x = 106,805,022,632.43/375,744.87
  6. Step 6: Final answer
    x = 284,248.78

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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.