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Finding the Fourth Proportional to 414,464.40, 622,618.20 and 403,405.20

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Solution

The fourth proportional to 414,464.40, 622,618.20 and 403,405.20 is: 606,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,464.40 : 622,618.20 = 403,405.20 : x
  2. Step 2: Convert to fraction form
    414,464.40/622,618.20 = 403,405.20/x
  3. Step 3: Cross multiply
    414,464.40x = 622,618.20 × 403,405.20
  4. Step 4: Simplify right side
    414,464.40x = 251,167,419,494.64
  5. Step 5: Solve for x
    x = 251,167,419,494.64/414,464.40
  6. Step 6: Final answer
    x = 606,004.81

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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.