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Finding the Fourth Proportional to 267,858.28, 401,806.86 and 80,884.36

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Solution

The fourth proportional to 267,858.28, 401,806.86 and 80,884.36 is: 121,332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,858.28 : 401,806.86 = 80,884.36 : x
  2. Step 2: Convert to fraction form
    267,858.28/401,806.86 = 80,884.36/x
  3. Step 3: Cross multiply
    267,858.28x = 401,806.86 × 80,884.36
  4. Step 4: Simplify right side
    267,858.28x = 32,499,890,714.71
  5. Step 5: Solve for x
    x = 32,499,890,714.71/267,858.28
  6. Step 6: Final answer
    x = 121,332.41

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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.