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Finding the Fourth Proportional to 257,087.58, 384,960.33 and 206,893.50

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Solution

The fourth proportional to 257,087.58, 384,960.33 and 206,893.50 is: 309,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,087.58 : 384,960.33 = 206,893.50 : x
  2. Step 2: Convert to fraction form
    257,087.58/384,960.33 = 206,893.50/x
  3. Step 3: Cross multiply
    257,087.58x = 384,960.33 × 206,893.50
  4. Step 4: Simplify right side
    257,087.58x = 79,645,790,034.86
  5. Step 5: Solve for x
    x = 79,645,790,034.86/257,087.58
  6. Step 6: Final answer
    x = 309,800.22

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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.