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Finding the Fourth Proportional to 257,754.33, 386,914.34 and 204,786.80

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Solution

The fourth proportional to 257,754.33, 386,914.34 and 204,786.80 is: 307,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,754.33 : 386,914.34 = 204,786.80 : x
  2. Step 2: Convert to fraction form
    257,754.33/386,914.34 = 204,786.80/x
  3. Step 3: Cross multiply
    257,754.33x = 386,914.34 × 204,786.80
  4. Step 4: Simplify right side
    257,754.33x = 79,234,946,604.21
  5. Step 5: Solve for x
    x = 79,234,946,604.21/257,754.33
  6. Step 6: Final answer
    x = 307,404.91

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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.