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Finding the Fourth Proportional to 226,163.25, 339,400.40 and 78,419.25

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Solution

The fourth proportional to 226,163.25, 339,400.40 and 78,419.25 is: 117,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,163.25 : 339,400.40 = 78,419.25 : x
  2. Step 2: Convert to fraction form
    226,163.25/339,400.40 = 78,419.25/x
  3. Step 3: Cross multiply
    226,163.25x = 339,400.40 × 78,419.25
  4. Step 4: Simplify right side
    226,163.25x = 26,615,524,425.60
  5. Step 5: Solve for x
    x = 26,615,524,425.60/226,163.25
  6. Step 6: Final answer
    x = 117,682.80

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1.5x scale

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.