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Finding the Fourth Proportional to 442,858,728.70, 664,288,093.05 and 320,414,722.30

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Solution

The fourth proportional to 442,858,728.70, 664,288,093.05 and 320,414,722.30 is: 480,622,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,858,728.70 : 664,288,093.05 = 320,414,722.30 : x
  2. Step 2: Convert to fraction form
    442,858,728.70/664,288,093.05 = 320,414,722.30/x
  3. Step 3: Cross multiply
    442,858,728.70x = 664,288,093.05 × 320,414,722.30
  4. Step 4: Simplify right side
    442,858,728.70x = 212,847,684,861,812,288
  5. Step 5: Solve for x
    x = 212,847,684,861,812,288/442,858,728.70
  6. Step 6: Final answer
    x = 480,622,083.45

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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.