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Finding the Fourth Proportional to 299,727.36, 449,064.96 and 267,187.20

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Solution

The fourth proportional to 299,727.36, 449,064.96 and 267,187.20 is: 400,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,727.36 : 449,064.96 = 267,187.20 : x
  2. Step 2: Convert to fraction form
    299,727.36/449,064.96 = 267,187.20/x
  3. Step 3: Cross multiply
    299,727.36x = 449,064.96 × 267,187.20
  4. Step 4: Simplify right side
    299,727.36x = 119,984,409,280.51
  5. Step 5: Solve for x
    x = 119,984,409,280.51/299,727.36
  6. Step 6: Final answer
    x = 400,311.83

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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.