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Finding the Fourth Proportional to 512,998.20, 769,497.30 and 505,999.80

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Solution

The fourth proportional to 512,998.20, 769,497.30 and 505,999.80 is: 758,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,998.20 : 769,497.30 = 505,999.80 : x
  2. Step 2: Convert to fraction form
    512,998.20/769,497.30 = 505,999.80/x
  3. Step 3: Cross multiply
    512,998.20x = 769,497.30 × 505,999.80
  4. Step 4: Simplify right side
    512,998.20x = 389,365,479,900.54
  5. Step 5: Solve for x
    x = 389,365,479,900.54/512,998.20
  6. Step 6: Final answer
    x = 758,999.70

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1.5x scale

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.