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Finding the Fourth Proportional to 414,867.60, 622,301.40 and 408,962.70

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Solution

The fourth proportional to 414,867.60, 622,301.40 and 408,962.70 is: 613,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,867.60 : 622,301.40 = 408,962.70 : x
  2. Step 2: Convert to fraction form
    414,867.60/622,301.40 = 408,962.70/x
  3. Step 3: Cross multiply
    414,867.60x = 622,301.40 × 408,962.70
  4. Step 4: Simplify right side
    414,867.60x = 254,498,060,757.78
  5. Step 5: Solve for x
    x = 254,498,060,757.78/414,867.60
  6. Step 6: Final answer
    x = 613,444.05

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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.