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Finding the Fourth Proportional to 414,364.60, 620,672.10 and 344,380.60

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Solution

The fourth proportional to 414,364.60, 620,672.10 and 344,380.60 is: 515,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,364.60 : 620,672.10 = 344,380.60 : x
  2. Step 2: Convert to fraction form
    414,364.60/620,672.10 = 344,380.60/x
  3. Step 3: Cross multiply
    414,364.60x = 620,672.10 × 344,380.60
  4. Step 4: Simplify right side
    414,364.60x = 213,747,430,201.26
  5. Step 5: Solve for x
    x = 213,747,430,201.26/414,364.60
  6. Step 6: Final answer
    x = 515,843.85

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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.