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Finding the Fourth Proportional to 376,550.96, 519,643.69 and 206,786.30

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Solution

The fourth proportional to 376,550.96, 519,643.69 and 206,786.30 is: 285,366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,550.96 : 519,643.69 = 206,786.30 : x
  2. Step 2: Convert to fraction form
    376,550.96/519,643.69 = 206,786.30/x
  3. Step 3: Cross multiply
    376,550.96x = 519,643.69 × 206,786.30
  4. Step 4: Simplify right side
    376,550.96x = 107,455,192,858.26
  5. Step 5: Solve for x
    x = 107,455,192,858.26/376,550.96
  6. Step 6: Final answer
    x = 285,366.94

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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.