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Finding the Fourth Proportional to 543,476.70, 814,786.30 and 343,375.31

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Solution

The fourth proportional to 543,476.70, 814,786.30 and 343,375.31 is: 514,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,476.70 : 814,786.30 = 343,375.31 : x
  2. Step 2: Convert to fraction form
    543,476.70/814,786.30 = 343,375.31/x
  3. Step 3: Cross multiply
    543,476.70x = 814,786.30 × 343,375.31
  4. Step 4: Simplify right side
    543,476.70x = 279,777,499,524.78
  5. Step 5: Solve for x
    x = 279,777,499,524.78/543,476.70
  6. Step 6: Final answer
    x = 514,792.08

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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.