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Finding the Fourth Proportional to 257,083.96, 384,955.26 and 206,889.88

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Solution

The fourth proportional to 257,083.96, 384,955.26 and 206,889.88 is: 309,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,083.96 : 384,955.26 = 206,889.88 : x
  2. Step 2: Convert to fraction form
    257,083.96/384,955.26 = 206,889.88/x
  3. Step 3: Cross multiply
    257,083.96x = 384,955.26 × 206,889.88
  4. Step 4: Simplify right side
    257,083.96x = 79,643,347,546.77
  5. Step 5: Solve for x
    x = 79,643,347,546.77/257,083.96
  6. Step 6: Final answer
    x = 309,795.09

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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.