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Finding the Fourth Proportional to 415,906.44, 623,943.90 and 135,348.36

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Solution

The fourth proportional to 415,906.44, 623,943.90 and 135,348.36 is: 203,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,906.44 : 623,943.90 = 135,348.36 : x
  2. Step 2: Convert to fraction form
    415,906.44/623,943.90 = 135,348.36/x
  3. Step 3: Cross multiply
    415,906.44x = 623,943.90 × 135,348.36
  4. Step 4: Simplify right side
    415,906.44x = 84,449,783,597.00
  5. Step 5: Solve for x
    x = 84,449,783,597.00/415,906.44
  6. Step 6: Final answer
    x = 203,049.95

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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.