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Finding the Fourth Proportional to 412,819.20, 618,645.60 and 254,577.60

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Solution

The fourth proportional to 412,819.20, 618,645.60 and 254,577.60 is: 381,506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,819.20 : 618,645.60 = 254,577.60 : x
  2. Step 2: Convert to fraction form
    412,819.20/618,645.60 = 254,577.60/x
  3. Step 3: Cross multiply
    412,819.20x = 618,645.60 × 254,577.60
  4. Step 4: Simplify right side
    412,819.20x = 157,493,312,098.56
  5. Step 5: Solve for x
    x = 157,493,312,098.56/412,819.20
  6. Step 6: Final answer
    x = 381,506.75

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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.