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Finding the Fourth Proportional to 272,223.58, 408,194.84 and 122,335.78

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Solution

The fourth proportional to 272,223.58, 408,194.84 and 122,335.78 is: 183,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,223.58 : 408,194.84 = 122,335.78 : x
  2. Step 2: Convert to fraction form
    272,223.58/408,194.84 = 122,335.78/x
  3. Step 3: Cross multiply
    272,223.58x = 408,194.84 × 122,335.78
  4. Step 4: Simplify right side
    272,223.58x = 49,936,833,531.70
  5. Step 5: Solve for x
    x = 49,936,833,531.70/272,223.58
  6. Step 6: Final answer
    x = 183,440.51

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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.