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Finding the Fourth Proportional to 394,014.20, 590,330.10 and 323,511.80

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Solution

The fourth proportional to 394,014.20, 590,330.10 and 323,511.80 is: 484,700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,014.20 : 590,330.10 = 323,511.80 : x
  2. Step 2: Convert to fraction form
    394,014.20/590,330.10 = 323,511.80/x
  3. Step 3: Cross multiply
    394,014.20x = 590,330.10 × 323,511.80
  4. Step 4: Simplify right side
    394,014.20x = 190,978,753,245.18
  5. Step 5: Solve for x
    x = 190,978,753,245.18/394,014.20
  6. Step 6: Final answer
    x = 484,700.18

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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.