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Finding the Fourth Proportional to 171,098,917.20, 256,648,375.80 and 165,052,299.60

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Solution

The fourth proportional to 171,098,917.20, 256,648,375.80 and 165,052,299.60 is: 247,578,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,098,917.20 : 256,648,375.80 = 165,052,299.60 : x
  2. Step 2: Convert to fraction form
    171,098,917.20/256,648,375.80 = 165,052,299.60/x
  3. Step 3: Cross multiply
    171,098,917.20x = 256,648,375.80 × 165,052,299.60
  4. Step 4: Simplify right side
    171,098,917.20x = 42,360,404,614,394,992
  5. Step 5: Solve for x
    x = 42,360,404,614,394,992/171,098,917.20
  6. Step 6: Final answer
    x = 247,578,449.40

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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.