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Finding the Fourth Proportional to 339,674.56, 509,650.17 and 171,243.43

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Solution

The fourth proportional to 339,674.56, 509,650.17 and 171,243.43 is: 256,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,674.56 : 509,650.17 = 171,243.43 : x
  2. Step 2: Convert to fraction form
    339,674.56/509,650.17 = 171,243.43/x
  3. Step 3: Cross multiply
    339,674.56x = 509,650.17 × 171,243.43
  4. Step 4: Simplify right side
    339,674.56x = 87,274,243,210.88
  5. Step 5: Solve for x
    x = 87,274,243,210.88/339,674.56
  6. Step 6: Final answer
    x = 256,934.88

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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.