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Finding the Fourth Proportional to 257,059.35, 384,918.30 and 206,865.27

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Solution

The fourth proportional to 257,059.35, 384,918.30 and 206,865.27 is: 309,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,059.35 : 384,918.30 = 206,865.27 : x
  2. Step 2: Convert to fraction form
    257,059.35/384,918.30 = 206,865.27/x
  3. Step 3: Cross multiply
    257,059.35x = 384,918.30 × 206,865.27
  4. Step 4: Simplify right side
    257,059.35x = 79,626,228,057.44
  5. Step 5: Solve for x
    x = 79,626,228,057.44/257,059.35
  6. Step 6: Final answer
    x = 309,758.15

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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.