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Finding the Fourth Proportional to 475,998.12, 714,183.89 and 209,571.75

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Solution

The fourth proportional to 475,998.12, 714,183.89 and 209,571.75 is: 314,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,998.12 : 714,183.89 = 209,571.75 : x
  2. Step 2: Convert to fraction form
    475,998.12/714,183.89 = 209,571.75/x
  3. Step 3: Cross multiply
    475,998.12x = 714,183.89 × 209,571.75
  4. Step 4: Simplify right side
    475,998.12x = 149,672,766,601.25
  5. Step 5: Solve for x
    x = 149,672,766,601.25/475,998.12
  6. Step 6: Final answer
    x = 314,439.83

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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.