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Finding the Fourth Proportional to 355,843.50, 491,064.39 and 204,940.86

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Solution

The fourth proportional to 355,843.50, 491,064.39 and 204,940.86 is: 282,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,843.50 : 491,064.39 = 204,940.86 : x
  2. Step 2: Convert to fraction form
    355,843.50/491,064.39 = 204,940.86/x
  3. Step 3: Cross multiply
    355,843.50x = 491,064.39 × 204,940.86
  4. Step 4: Simplify right side
    355,843.50x = 100,639,158,401.98
  5. Step 5: Solve for x
    x = 100,639,158,401.98/355,843.50
  6. Step 6: Final answer
    x = 282,818.59

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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.