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Finding the Fourth Proportional to 299,997, 450,019.40 and 100,318.64

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Solution

The fourth proportional to 299,997, 450,019.40 and 100,318.64 is: 150,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,997 : 450,019.40 = 100,318.64 : x
  2. Step 2: Convert to fraction form
    299,997/450,019.40 = 100,318.64/x
  3. Step 3: Cross multiply
    299,997x = 450,019.40 × 100,318.64
  4. Step 4: Simplify right side
    299,997x = 45,145,334,181.62
  5. Step 5: Solve for x
    x = 45,145,334,181.62/299,997
  6. Step 6: Final answer
    x = 150,485.95

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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.