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Finding the Fourth Proportional to 512,989.54, 769,299.76 and 175,942.77

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Solution

The fourth proportional to 512,989.54, 769,299.76 and 175,942.77 is: 263,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,989.54 : 769,299.76 = 175,942.77 : x
  2. Step 2: Convert to fraction form
    512,989.54/769,299.76 = 175,942.77/x
  3. Step 3: Cross multiply
    512,989.54x = 769,299.76 × 175,942.77
  4. Step 4: Simplify right side
    512,989.54x = 135,352,728,069.79
  5. Step 5: Solve for x
    x = 135,352,728,069.79/512,989.54
  6. Step 6: Final answer
    x = 263,850.85

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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.