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Finding the Fourth Proportional to 335,512, 503,268 and 86,194

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Solution

The fourth proportional to 335,512, 503,268 and 86,194 is: 129,291

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,512 : 503,268 = 86,194 : x
  2. Step 2: Convert to fraction form
    335,512/503,268 = 86,194/x
  3. Step 3: Cross multiply
    335,512x = 503,268 × 86,194
  4. Step 4: Simplify right side
    335,512x = 43,378,681,992
  5. Step 5: Solve for x
    x = 43,378,681,992/335,512
  6. Step 6: Final answer
    x = 129,291

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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.