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Finding the Fourth Proportional to 257,084.96, 384,956.76 and 206,890.88

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Solution

The fourth proportional to 257,084.96, 384,956.76 and 206,890.88 is: 309,796.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,084.96 : 384,956.76 = 206,890.88 : x
  2. Step 2: Convert to fraction form
    257,084.96/384,956.76 = 206,890.88/x
  3. Step 3: Cross multiply
    257,084.96x = 384,956.76 × 206,890.88
  4. Step 4: Simplify right side
    257,084.96x = 79,644,042,838.35
  5. Step 5: Solve for x
    x = 79,644,042,838.35/257,084.96
  6. Step 6: Final answer
    x = 309,796.59

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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.