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Finding the Fourth Proportional to 220,838.40, 330,901.20 and 199,843.20

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Solution

The fourth proportional to 220,838.40, 330,901.20 and 199,843.20 is: 299,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,838.40 : 330,901.20 = 199,843.20 : x
  2. Step 2: Convert to fraction form
    220,838.40/330,901.20 = 199,843.20/x
  3. Step 3: Cross multiply
    220,838.40x = 330,901.20 × 199,843.20
  4. Step 4: Simplify right side
    220,838.40x = 66,128,354,691.84
  5. Step 5: Solve for x
    x = 66,128,354,691.84/220,838.40
  6. Step 6: Final answer
    x = 299,442.28

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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.