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Finding the Fourth Proportional to 366,407.12, 505,608 and 205,268.96

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Solution

The fourth proportional to 366,407.12, 505,608 and 205,268.96 is: 283,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,407.12 : 505,608 = 205,268.96 : x
  2. Step 2: Convert to fraction form
    366,407.12/505,608 = 205,268.96/x
  3. Step 3: Cross multiply
    366,407.12x = 505,608 × 205,268.96
  4. Step 4: Simplify right side
    366,407.12x = 103,785,628,327.68
  5. Step 5: Solve for x
    x = 103,785,628,327.68/366,407.12
  6. Step 6: Final answer
    x = 283,252.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.