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Finding the Fourth Proportional to 512,650.40, 768,539.39 and 313,110.77

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Solution

The fourth proportional to 512,650.40, 768,539.39 and 313,110.77 is: 469,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,650.40 : 768,539.39 = 313,110.77 : x
  2. Step 2: Convert to fraction form
    512,650.40/768,539.39 = 313,110.77/x
  3. Step 3: Cross multiply
    512,650.40x = 768,539.39 × 313,110.77
  4. Step 4: Simplify right side
    512,650.40x = 240,637,954,769.98
  5. Step 5: Solve for x
    x = 240,637,954,769.98/512,650.40
  6. Step 6: Final answer
    x = 469,399.73

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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.