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Finding the Fourth Proportional to 299,286.59, 448,757.08 and 204,631.40

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Solution

The fourth proportional to 299,286.59, 448,757.08 and 204,631.40 is: 306,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,286.59 : 448,757.08 = 204,631.40 : x
  2. Step 2: Convert to fraction form
    299,286.59/448,757.08 = 204,631.40/x
  3. Step 3: Cross multiply
    299,286.59x = 448,757.08 × 204,631.40
  4. Step 4: Simplify right side
    299,286.59x = 91,829,790,150.63
  5. Step 5: Solve for x
    x = 91,829,790,150.63/299,286.59
  6. Step 6: Final answer
    x = 306,828.96

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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.