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Finding the Fourth Proportional to 414,902.40, 622,353.60 and 272,361.60

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Solution

The fourth proportional to 414,902.40, 622,353.60 and 272,361.60 is: 408,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,902.40 : 622,353.60 = 272,361.60 : x
  2. Step 2: Convert to fraction form
    414,902.40/622,353.60 = 272,361.60/x
  3. Step 3: Cross multiply
    414,902.40x = 622,353.60 × 272,361.60
  4. Step 4: Simplify right side
    414,902.40x = 169,505,222,261.76
  5. Step 5: Solve for x
    x = 169,505,222,261.76/414,902.40
  6. Step 6: Final answer
    x = 408,542.40

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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.