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Finding the Fourth Proportional to 412,747.20, 618,537.60 and 254,505.60

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Solution

The fourth proportional to 412,747.20, 618,537.60 and 254,505.60 is: 381,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,747.20 : 618,537.60 = 254,505.60 : x
  2. Step 2: Convert to fraction form
    412,747.20/618,537.60 = 254,505.60/x
  3. Step 3: Cross multiply
    412,747.20x = 618,537.60 × 254,505.60
  4. Step 4: Simplify right side
    412,747.20x = 157,421,283,010.56
  5. Step 5: Solve for x
    x = 157,421,283,010.56/412,747.20
  6. Step 6: Final answer
    x = 381,398.79

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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.