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Finding the Fourth Proportional to 376,169.84, 519,125.28 and 206,414.72

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Solution

The fourth proportional to 376,169.84, 519,125.28 and 206,414.72 is: 284,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,169.84 : 519,125.28 = 206,414.72 : x
  2. Step 2: Convert to fraction form
    376,169.84/519,125.28 = 206,414.72/x
  3. Step 3: Cross multiply
    376,169.84x = 519,125.28 × 206,414.72
  4. Step 4: Simplify right side
    376,169.84x = 107,155,099,316.12
  5. Step 5: Solve for x
    x = 107,155,099,316.12/376,169.84
  6. Step 6: Final answer
    x = 284,858.30

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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.