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Finding the Fourth Proportional to 366,415.80, 505,684.89 and 205,268.64

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Solution

The fourth proportional to 366,415.80, 505,684.89 and 205,268.64 is: 283,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,415.80 : 505,684.89 = 205,268.64 : x
  2. Step 2: Convert to fraction form
    366,415.80/505,684.89 = 205,268.64/x
  3. Step 3: Cross multiply
    366,415.80x = 505,684.89 × 205,268.64
  4. Step 4: Simplify right side
    366,415.80x = 103,801,249,638.85
  5. Step 5: Solve for x
    x = 103,801,249,638.85/366,415.80
  6. Step 6: Final answer
    x = 283,288.14

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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.