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Finding the Fourth Proportional to 299,905.20, 449,908.20 and 89,564.40

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Solution

The fourth proportional to 299,905.20, 449,908.20 and 89,564.40 is: 134,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,905.20 : 449,908.20 = 89,564.40 : x
  2. Step 2: Convert to fraction form
    299,905.20/449,908.20 = 89,564.40/x
  3. Step 3: Cross multiply
    299,905.20x = 449,908.20 × 89,564.40
  4. Step 4: Simplify right side
    299,905.20x = 40,295,757,988.08
  5. Step 5: Solve for x
    x = 40,295,757,988.08/299,905.20
  6. Step 6: Final answer
    x = 134,361.65

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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.