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Finding the Fourth Proportional to 415,072.60, 622,608.90 and 265,481.80

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Solution

The fourth proportional to 415,072.60, 622,608.90 and 265,481.80 is: 398,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,072.60 : 622,608.90 = 265,481.80 : x
  2. Step 2: Convert to fraction form
    415,072.60/622,608.90 = 265,481.80/x
  3. Step 3: Cross multiply
    415,072.60x = 622,608.90 × 265,481.80
  4. Step 4: Simplify right side
    415,072.60x = 165,291,331,468.02
  5. Step 5: Solve for x
    x = 165,291,331,468.02/415,072.60
  6. Step 6: Final answer
    x = 398,222.70

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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.