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Finding the Fourth Proportional to 412,753.32, 619,129.98 and 330,172.20

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Solution

The fourth proportional to 412,753.32, 619,129.98 and 330,172.20 is: 495,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,753.32 : 619,129.98 = 330,172.20 : x
  2. Step 2: Convert to fraction form
    412,753.32/619,129.98 = 330,172.20/x
  3. Step 3: Cross multiply
    412,753.32x = 619,129.98 × 330,172.20
  4. Step 4: Simplify right side
    412,753.32x = 204,419,507,582.56
  5. Step 5: Solve for x
    x = 204,419,507,582.56/412,753.32
  6. Step 6: Final answer
    x = 495,258.30

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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.