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Finding the Fourth Proportional to 257,231.75, 385,708.45 and 204,264.48

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Solution

The fourth proportional to 257,231.75, 385,708.45 and 204,264.48 is: 306,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,231.75 : 385,708.45 = 204,264.48 : x
  2. Step 2: Convert to fraction form
    257,231.75/385,708.45 = 204,264.48/x
  3. Step 3: Cross multiply
    257,231.75x = 385,708.45 × 204,264.48
  4. Step 4: Simplify right side
    257,231.75x = 78,786,537,289.60
  5. Step 5: Solve for x
    x = 78,786,537,289.60/257,231.75
  6. Step 6: Final answer
    x = 306,286.21

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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.