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Finding the Fourth Proportional to 513,198.37, 769,716.70 and 171,639.20

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Solution

The fourth proportional to 513,198.37, 769,716.70 and 171,639.20 is: 257,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,198.37 : 769,716.70 = 171,639.20 : x
  2. Step 2: Convert to fraction form
    513,198.37/769,716.70 = 171,639.20/x
  3. Step 3: Cross multiply
    513,198.37x = 769,716.70 × 171,639.20
  4. Step 4: Simplify right side
    513,198.37x = 132,113,558,614.64
  5. Step 5: Solve for x
    x = 132,113,558,614.64/513,198.37
  6. Step 6: Final answer
    x = 257,431.76

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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.