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Finding the Fourth Proportional to 267,997.60, 401,121.60 and 208,511.20

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Solution

The fourth proportional to 267,997.60, 401,121.60 and 208,511.20 is: 312,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,997.60 : 401,121.60 = 208,511.20 : x
  2. Step 2: Convert to fraction form
    267,997.60/401,121.60 = 208,511.20/x
  3. Step 3: Cross multiply
    267,997.60x = 401,121.60 × 208,511.20
  4. Step 4: Simplify right side
    267,997.60x = 83,638,346,161.92
  5. Step 5: Solve for x
    x = 83,638,346,161.92/267,997.60
  6. Step 6: Final answer
    x = 312,086.18

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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.