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Finding the Fourth Proportional to 412,514.43, 618,772.15 and 112,997.60

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Solution

The fourth proportional to 412,514.43, 618,772.15 and 112,997.60 is: 169,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,514.43 : 618,772.15 = 112,997.60 : x
  2. Step 2: Convert to fraction form
    412,514.43/618,772.15 = 112,997.60/x
  3. Step 3: Cross multiply
    412,514.43x = 618,772.15 × 112,997.60
  4. Step 4: Simplify right side
    412,514.43x = 69,919,764,888.71
  5. Step 5: Solve for x
    x = 69,919,764,888.71/412,514.43
  6. Step 6: Final answer
    x = 169,496.53

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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.