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Finding the Fourth Proportional to 257,117.70, 385,020.45 and 204,629.70

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Solution

The fourth proportional to 257,117.70, 385,020.45 and 204,629.70 is: 306,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,117.70 : 385,020.45 = 204,629.70 : x
  2. Step 2: Convert to fraction form
    257,117.70/385,020.45 = 204,629.70/x
  3. Step 3: Cross multiply
    257,117.70x = 385,020.45 × 204,629.70
  4. Step 4: Simplify right side
    257,117.70x = 78,786,619,177.37
  5. Step 5: Solve for x
    x = 78,786,619,177.37/257,117.70
  6. Step 6: Final answer
    x = 306,422.39

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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.