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Finding the Fourth Proportional to 414,868.60, 622,302.90 and 408,963.70

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Solution

The fourth proportional to 414,868.60, 622,302.90 and 408,963.70 is: 613,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,868.60 : 622,302.90 = 408,963.70 : x
  2. Step 2: Convert to fraction form
    414,868.60/622,302.90 = 408,963.70/x
  3. Step 3: Cross multiply
    414,868.60x = 622,302.90 × 408,963.70
  4. Step 4: Simplify right side
    414,868.60x = 254,499,296,504.73
  5. Step 5: Solve for x
    x = 254,499,296,504.73/414,868.60
  6. Step 6: Final answer
    x = 613,445.55

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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.