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Finding the Fourth Proportional to 257,057.22, 384,915.12 and 206,863.14

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Solution

The fourth proportional to 257,057.22, 384,915.12 and 206,863.14 is: 309,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,057.22 : 384,915.12 = 206,863.14 : x
  2. Step 2: Convert to fraction form
    257,057.22/384,915.12 = 206,863.14/x
  3. Step 3: Cross multiply
    257,057.22x = 384,915.12 × 206,863.14
  4. Step 4: Simplify right side
    257,057.22x = 79,624,750,356.68
  5. Step 5: Solve for x
    x = 79,624,750,356.68/257,057.22
  6. Step 6: Final answer
    x = 309,754.97

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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.