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Finding the Fourth Proportional to 505,605.18, 758,221.74 and 205,923

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Solution

The fourth proportional to 505,605.18, 758,221.74 and 205,923 is: 308,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,605.18 : 758,221.74 = 205,923 : x
  2. Step 2: Convert to fraction form
    505,605.18/758,221.74 = 205,923/x
  3. Step 3: Cross multiply
    505,605.18x = 758,221.74 × 205,923
  4. Step 4: Simplify right side
    505,605.18x = 156,135,295,366.02
  5. Step 5: Solve for x
    x = 156,135,295,366.02/505,605.18
  6. Step 6: Final answer
    x = 308,808.73

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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.