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Finding the Fourth Proportional to 414,999.60, 622,499.40 and 412,375.20

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Solution

The fourth proportional to 414,999.60, 622,499.40 and 412,375.20 is: 618,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,999.60 : 622,499.40 = 412,375.20 : x
  2. Step 2: Convert to fraction form
    414,999.60/622,499.40 = 412,375.20/x
  3. Step 3: Cross multiply
    414,999.60x = 622,499.40 × 412,375.20
  4. Step 4: Simplify right side
    414,999.60x = 256,703,314,574.88
  5. Step 5: Solve for x
    x = 256,703,314,574.88/414,999.60
  6. Step 6: Final answer
    x = 618,562.80

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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.