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Finding the Fourth Proportional to 361,410.88, 542,112.42 and 148,131.25

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Solution

The fourth proportional to 361,410.88, 542,112.42 and 148,131.25 is: 222,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,410.88 : 542,112.42 = 148,131.25 : x
  2. Step 2: Convert to fraction form
    361,410.88/542,112.42 = 148,131.25/x
  3. Step 3: Cross multiply
    361,410.88x = 542,112.42 × 148,131.25
  4. Step 4: Simplify right side
    361,410.88x = 80,303,790,860.83
  5. Step 5: Solve for x
    x = 80,303,790,860.83/361,410.88
  6. Step 6: Final answer
    x = 222,195.28

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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.