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Finding the Fourth Proportional to 265,419.92, 398,197.34 and 78,431.44

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Solution

The fourth proportional to 265,419.92, 398,197.34 and 78,431.44 is: 117,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,419.92 : 398,197.34 = 78,431.44 : x
  2. Step 2: Convert to fraction form
    265,419.92/398,197.34 = 78,431.44/x
  3. Step 3: Cross multiply
    265,419.92x = 398,197.34 × 78,431.44
  4. Step 4: Simplify right side
    265,419.92x = 31,231,190,780.37
  5. Step 5: Solve for x
    x = 31,231,190,780.37/265,419.92
  6. Step 6: Final answer
    x = 117,667.09

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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.