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Finding the Fourth Proportional to 394,415,436.80, 590,489,414.40 and 241,360,428.80

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Solution

The fourth proportional to 394,415,436.80, 590,489,414.40 and 241,360,428.80 is: 361,346,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,415,436.80 : 590,489,414.40 = 241,360,428.80 : x
  2. Step 2: Convert to fraction form
    394,415,436.80/590,489,414.40 = 241,360,428.80/x
  3. Step 3: Cross multiply
    394,415,436.80x = 590,489,414.40 × 241,360,428.80
  4. Step 4: Simplify right side
    394,415,436.80x = 142,520,778,261,444,896
  5. Step 5: Solve for x
    x = 142,520,778,261,444,896/394,415,436.80
  6. Step 6: Final answer
    x = 361,346,856.55

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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.