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Finding the Fourth Proportional to 376,574.92, 519,672.79 and 206,809.05

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Solution

The fourth proportional to 376,574.92, 519,672.79 and 206,809.05 is: 285,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,574.92 : 519,672.79 = 206,809.05 : x
  2. Step 2: Convert to fraction form
    376,574.92/519,672.79 = 206,809.05/x
  3. Step 3: Cross multiply
    376,574.92x = 519,672.79 × 206,809.05
  4. Step 4: Simplify right side
    376,574.92x = 107,473,036,010.75
  5. Step 5: Solve for x
    x = 107,473,036,010.75/376,574.92
  6. Step 6: Final answer
    x = 285,396.16

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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.