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Finding the Fourth Proportional to 407,067.80, 561,386.03 and 254,120.09

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Solution

The fourth proportional to 407,067.80, 561,386.03 and 254,120.09 is: 350,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,067.80 : 561,386.03 = 254,120.09 : x
  2. Step 2: Convert to fraction form
    407,067.80/561,386.03 = 254,120.09/x
  3. Step 3: Cross multiply
    407,067.80x = 561,386.03 × 254,120.09
  4. Step 4: Simplify right side
    407,067.80x = 142,659,464,390.81
  5. Step 5: Solve for x
    x = 142,659,464,390.81/407,067.80
  6. Step 6: Final answer
    x = 350,456.28

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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.