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Finding the Fourth Proportional to 512,556.10, 768,834.15 and 475,231.30

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Solution

The fourth proportional to 512,556.10, 768,834.15 and 475,231.30 is: 712,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,556.10 : 768,834.15 = 475,231.30 : x
  2. Step 2: Convert to fraction form
    512,556.10/768,834.15 = 475,231.30/x
  3. Step 3: Cross multiply
    512,556.10x = 768,834.15 × 475,231.30
  4. Step 4: Simplify right side
    512,556.10x = 365,374,052,588.90
  5. Step 5: Solve for x
    x = 365,374,052,588.90/512,556.10
  6. Step 6: Final answer
    x = 712,846.95

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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.