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Finding the Fourth Proportional to 393,784.80, 590,992.49 and 204,299.47

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Solution

The fourth proportional to 393,784.80, 590,992.49 and 204,299.47 is: 306,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,784.80 : 590,992.49 = 204,299.47 : x
  2. Step 2: Convert to fraction form
    393,784.80/590,992.49 = 204,299.47/x
  3. Step 3: Cross multiply
    393,784.80x = 590,992.49 × 204,299.47
  4. Step 4: Simplify right side
    393,784.80x = 120,739,452,480.98
  5. Step 5: Solve for x
    x = 120,739,452,480.98/393,784.80
  6. Step 6: Final answer
    x = 306,612.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.