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Finding the Fourth Proportional to 543,385.44, 815,121.84 and 206,587.20

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Solution

The fourth proportional to 543,385.44, 815,121.84 and 206,587.20 is: 309,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,385.44 : 815,121.84 = 206,587.20 : x
  2. Step 2: Convert to fraction form
    543,385.44/815,121.84 = 206,587.20/x
  3. Step 3: Cross multiply
    543,385.44x = 815,121.84 × 206,587.20
  4. Step 4: Simplify right side
    543,385.44x = 168,393,738,584.45
  5. Step 5: Solve for x
    x = 168,393,738,584.45/543,385.44
  6. Step 6: Final answer
    x = 309,897.41

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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.