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Finding the Fourth Proportional to 376,729.68, 519,865.36 and 206,960.16

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Solution

The fourth proportional to 376,729.68, 519,865.36 and 206,960.16 is: 285,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,729.68 : 519,865.36 = 206,960.16 : x
  2. Step 2: Convert to fraction form
    376,729.68/519,865.36 = 206,960.16/x
  3. Step 3: Cross multiply
    376,729.68x = 519,865.36 × 206,960.16
  4. Step 4: Simplify right side
    376,729.68x = 107,591,418,084.06
  5. Step 5: Solve for x
    x = 107,591,418,084.06/376,729.68
  6. Step 6: Final answer
    x = 285,593.16

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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.