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Finding the Fourth Proportional to 299,180.40, 448,358.97 and 128,197.43

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Solution

The fourth proportional to 299,180.40, 448,358.97 and 128,197.43 is: 192,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,180.40 : 448,358.97 = 128,197.43 : x
  2. Step 2: Convert to fraction form
    299,180.40/448,358.97 = 128,197.43/x
  3. Step 3: Cross multiply
    299,180.40x = 448,358.97 × 128,197.43
  4. Step 4: Simplify right side
    299,180.40x = 57,478,469,212.37
  5. Step 5: Solve for x
    x = 57,478,469,212.37/299,180.40
  6. Step 6: Final answer
    x = 192,119.77

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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.