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Finding the Fourth Proportional to 412,010.80, 618,016.20 and 323,537.20

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Solution

The fourth proportional to 412,010.80, 618,016.20 and 323,537.20 is: 485,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,010.80 : 618,016.20 = 323,537.20 : x
  2. Step 2: Convert to fraction form
    412,010.80/618,016.20 = 323,537.20/x
  3. Step 3: Cross multiply
    412,010.80x = 618,016.20 × 323,537.20
  4. Step 4: Simplify right side
    412,010.80x = 199,951,230,902.64
  5. Step 5: Solve for x
    x = 199,951,230,902.64/412,010.80
  6. Step 6: Final answer
    x = 485,305.80

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1.5x scale

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.