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Finding the Fourth Proportional to 543,380.40, 814,086.45 and 442,997.10

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Solution

The fourth proportional to 543,380.40, 814,086.45 and 442,997.10 is: 663,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,380.40 : 814,086.45 = 442,997.10 : x
  2. Step 2: Convert to fraction form
    543,380.40/814,086.45 = 442,997.10/x
  3. Step 3: Cross multiply
    543,380.40x = 814,086.45 × 442,997.10
  4. Step 4: Simplify right side
    543,380.40x = 360,637,936,499.30
  5. Step 5: Solve for x
    x = 360,637,936,499.30/543,380.40
  6. Step 6: Final answer
    x = 663,693.31

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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.