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Finding the Fourth Proportional to 512,960.96, 769,481.16 and 171,405.57

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Solution

The fourth proportional to 512,960.96, 769,481.16 and 171,405.57 is: 257,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,960.96 : 769,481.16 = 171,405.57 : x
  2. Step 2: Convert to fraction form
    512,960.96/769,481.16 = 171,405.57/x
  3. Step 3: Cross multiply
    512,960.96x = 769,481.16 × 171,405.57
  4. Step 4: Simplify right side
    512,960.96x = 131,893,356,834.06
  5. Step 5: Solve for x
    x = 131,893,356,834.06/512,960.96
  6. Step 6: Final answer
    x = 257,121.63

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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.