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Finding the Fourth Proportional to 543,324.80, 814,654.76 and 259,102.28

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Solution

The fourth proportional to 543,324.80, 814,654.76 and 259,102.28 is: 388,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,324.80 : 814,654.76 = 259,102.28 : x
  2. Step 2: Convert to fraction form
    543,324.80/814,654.76 = 259,102.28/x
  3. Step 3: Cross multiply
    543,324.80x = 814,654.76 × 259,102.28
  4. Step 4: Simplify right side
    543,324.80x = 211,078,900,360.07
  5. Step 5: Solve for x
    x = 211,078,900,360.07/543,324.80
  6. Step 6: Final answer
    x = 388,494.88

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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.