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Finding the Fourth Proportional to 376,179.20, 519,127.92 and 206,414.64

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Solution

The fourth proportional to 376,179.20, 519,127.92 and 206,414.64 is: 284,852.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,179.20 : 519,127.92 = 206,414.64 : x
  2. Step 2: Convert to fraction form
    376,179.20/519,127.92 = 206,414.64/x
  3. Step 3: Cross multiply
    376,179.20x = 519,127.92 × 206,414.64
  4. Step 4: Simplify right side
    376,179.20x = 107,155,602,720.75
  5. Step 5: Solve for x
    x = 107,155,602,720.75/376,179.20
  6. Step 6: Final answer
    x = 284,852.55

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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.