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Finding the Fourth Proportional to 299,965.30, 449,971.86 and 100,286.72

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Solution

The fourth proportional to 299,965.30, 449,971.86 and 100,286.72 is: 150,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,965.30 : 449,971.86 = 100,286.72 : x
  2. Step 2: Convert to fraction form
    299,965.30/449,971.86 = 100,286.72/x
  3. Step 3: Cross multiply
    299,965.30x = 449,971.86 × 100,286.72
  4. Step 4: Simplify right side
    299,965.30x = 45,126,201,931.70
  5. Step 5: Solve for x
    x = 45,126,201,931.70/299,965.30
  6. Step 6: Final answer
    x = 150,438.08

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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.