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Finding the Fourth Proportional to 441,268, 661,902 and 125,725.82

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Solution

The fourth proportional to 441,268, 661,902 and 125,725.82 is: 188,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,268 : 661,902 = 125,725.82 : x
  2. Step 2: Convert to fraction form
    441,268/661,902 = 125,725.82/x
  3. Step 3: Cross multiply
    441,268x = 661,902 × 125,725.82
  4. Step 4: Simplify right side
    441,268x = 83,218,171,709.64
  5. Step 5: Solve for x
    x = 83,218,171,709.64/441,268
  6. Step 6: Final answer
    x = 188,588.73

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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.