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Finding the Fourth Proportional to 268,742.41, 403,099.94 and 100,249.45

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Solution

The fourth proportional to 268,742.41, 403,099.94 and 100,249.45 is: 150,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,742.41 : 403,099.94 = 100,249.45 : x
  2. Step 2: Convert to fraction form
    268,742.41/403,099.94 = 100,249.45/x
  3. Step 3: Cross multiply
    268,742.41x = 403,099.94 × 100,249.45
  4. Step 4: Simplify right side
    268,742.41x = 40,410,546,522.91
  5. Step 5: Solve for x
    x = 40,410,546,522.91/268,742.41
  6. Step 6: Final answer
    x = 150,369.07

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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.