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Finding the Fourth Proportional to 376,548.62, 519,640.45 and 206,783.96

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Solution

The fourth proportional to 376,548.62, 519,640.45 and 206,783.96 is: 285,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,548.62 : 519,640.45 = 206,783.96 : x
  2. Step 2: Convert to fraction form
    376,548.62/519,640.45 = 206,783.96/x
  3. Step 3: Cross multiply
    376,548.62x = 519,640.45 × 206,783.96
  4. Step 4: Simplify right side
    376,548.62x = 107,453,310,809.32
  5. Step 5: Solve for x
    x = 107,453,310,809.32/376,548.62
  6. Step 6: Final answer
    x = 285,363.71

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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.