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Finding the Fourth Proportional to 505,469.83, 758,190.15 and 205,876.33

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Solution

The fourth proportional to 505,469.83, 758,190.15 and 205,876.33 is: 308,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,469.83 : 758,190.15 = 205,876.33 : x
  2. Step 2: Convert to fraction form
    505,469.83/758,190.15 = 205,876.33/x
  3. Step 3: Cross multiply
    505,469.83x = 758,190.15 × 205,876.33
  4. Step 4: Simplify right side
    505,469.83x = 156,093,405,524.15
  5. Step 5: Solve for x
    x = 156,093,405,524.15/505,469.83
  6. Step 6: Final answer
    x = 308,808.55

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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.