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Finding the Fourth Proportional to 412,844.80, 619,353.60 and 132,390.40

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Solution

The fourth proportional to 412,844.80, 619,353.60 and 132,390.40 is: 198,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,844.80 : 619,353.60 = 132,390.40 : x
  2. Step 2: Convert to fraction form
    412,844.80/619,353.60 = 132,390.40/x
  3. Step 3: Cross multiply
    412,844.80x = 619,353.60 × 132,390.40
  4. Step 4: Simplify right side
    412,844.80x = 81,996,470,845.44
  5. Step 5: Solve for x
    x = 81,996,470,845.44/412,844.80
  6. Step 6: Final answer
    x = 198,613.31

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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.