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Finding the Fourth Proportional to 275,921.42, 380,805.38 and 155,067.80

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Solution

The fourth proportional to 275,921.42, 380,805.38 and 155,067.80 is: 214,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,921.42 : 380,805.38 = 155,067.80 : x
  2. Step 2: Convert to fraction form
    275,921.42/380,805.38 = 155,067.80/x
  3. Step 3: Cross multiply
    275,921.42x = 380,805.38 × 155,067.80
  4. Step 4: Simplify right side
    275,921.42x = 59,050,649,825.40
  5. Step 5: Solve for x
    x = 59,050,649,825.40/275,921.42
  6. Step 6: Final answer
    x = 214,012.57

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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.