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Finding the Fourth Proportional to 375,965.28, 518,839.20 and 206,208

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Solution

The fourth proportional to 375,965.28, 518,839.20 and 206,208 is: 284,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,965.28 : 518,839.20 = 206,208 : x
  2. Step 2: Convert to fraction form
    375,965.28/518,839.20 = 206,208/x
  3. Step 3: Cross multiply
    375,965.28x = 518,839.20 × 206,208
  4. Step 4: Simplify right side
    375,965.28x = 106,988,793,753.60
  5. Step 5: Solve for x
    x = 106,988,793,753.60/375,965.28
  6. Step 6: Final answer
    x = 284,570.94

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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.