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Finding the Fourth Proportional to 505,536.16, 757,859.94 and 206,268.70

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Solution

The fourth proportional to 505,536.16, 757,859.94 and 206,268.70 is: 309,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,536.16 : 757,859.94 = 206,268.70 : x
  2. Step 2: Convert to fraction form
    505,536.16/757,859.94 = 206,268.70/x
  3. Step 3: Cross multiply
    505,536.16x = 757,859.94 × 206,268.70
  4. Step 4: Simplify right side
    505,536.16x = 156,322,784,605.88
  5. Step 5: Solve for x
    x = 156,322,784,605.88/505,536.16
  6. Step 6: Final answer
    x = 309,221.77

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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.