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Finding the Fourth Proportional to 412,181.20, 618,157.60 and 145,906.68

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Solution

The fourth proportional to 412,181.20, 618,157.60 and 145,906.68 is: 218,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,181.20 : 618,157.60 = 145,906.68 : x
  2. Step 2: Convert to fraction form
    412,181.20/618,157.60 = 145,906.68/x
  3. Step 3: Cross multiply
    412,181.20x = 618,157.60 × 145,906.68
  4. Step 4: Simplify right side
    412,181.20x = 90,193,323,132.77
  5. Step 5: Solve for x
    x = 90,193,323,132.77/412,181.20
  6. Step 6: Final answer
    x = 218,819.59

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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.