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Finding the Fourth Proportional to 299,921.32, 449,881.98 and 100,241.71

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Solution

The fourth proportional to 299,921.32, 449,881.98 and 100,241.71 is: 150,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,921.32 : 449,881.98 = 100,241.71 : x
  2. Step 2: Convert to fraction form
    299,921.32/449,881.98 = 100,241.71/x
  3. Step 3: Cross multiply
    299,921.32x = 449,881.98 × 100,241.71
  4. Step 4: Simplify right side
    299,921.32x = 45,096,939,286.64
  5. Step 5: Solve for x
    x = 45,096,939,286.64/299,921.32
  6. Step 6: Final answer
    x = 150,362.56

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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.