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Finding the Fourth Proportional to 309,608.37, 427,218.22 and 171,785.09

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Solution

The fourth proportional to 309,608.37, 427,218.22 and 171,785.09 is: 237,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,608.37 : 427,218.22 = 171,785.09 : x
  2. Step 2: Convert to fraction form
    309,608.37/427,218.22 = 171,785.09/x
  3. Step 3: Cross multiply
    309,608.37x = 427,218.22 × 171,785.09
  4. Step 4: Simplify right side
    309,608.37x = 73,389,719,942.88
  5. Step 5: Solve for x
    x = 73,389,719,942.88/309,608.37
  6. Step 6: Final answer
    x = 237,040.49

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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.