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Finding the Fourth Proportional to 376,724.88, 519,880.53 and 206,969.94

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Solution

The fourth proportional to 376,724.88, 519,880.53 and 206,969.94 is: 285,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,724.88 : 519,880.53 = 206,969.94 : x
  2. Step 2: Convert to fraction form
    376,724.88/519,880.53 = 206,969.94/x
  3. Step 3: Cross multiply
    376,724.88x = 519,880.53 × 206,969.94
  4. Step 4: Simplify right side
    376,724.88x = 107,599,642,101.27
  5. Step 5: Solve for x
    x = 107,599,642,101.27/376,724.88
  6. Step 6: Final answer
    x = 285,618.62

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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.