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Finding the Fourth Proportional to 512,493.40, 768,740.06 and 259,734.52

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Solution

The fourth proportional to 512,493.40, 768,740.06 and 259,734.52 is: 389,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,493.40 : 768,740.06 = 259,734.52 : x
  2. Step 2: Convert to fraction form
    512,493.40/768,740.06 = 259,734.52/x
  3. Step 3: Cross multiply
    512,493.40x = 768,740.06 × 259,734.52
  4. Step 4: Simplify right side
    512,493.40x = 199,668,330,488.87
  5. Step 5: Solve for x
    x = 199,668,330,488.87/512,493.40
  6. Step 6: Final answer
    x = 389,601.76

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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.