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Finding the Fourth Proportional to 376,727.76, 519,884.50 and 206,972.82

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Solution

The fourth proportional to 376,727.76, 519,884.50 and 206,972.82 is: 285,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,727.76 : 519,884.50 = 206,972.82 : x
  2. Step 2: Convert to fraction form
    376,727.76/519,884.50 = 206,972.82/x
  3. Step 3: Cross multiply
    376,727.76x = 519,884.50 × 206,972.82
  4. Step 4: Simplify right side
    376,727.76x = 107,601,961,039.29
  5. Step 5: Solve for x
    x = 107,601,961,039.29/376,727.76
  6. Step 6: Final answer
    x = 285,622.60

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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.