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Finding the Fourth Proportional to 394,231,805.60, 591,347,708.40 and 394,231,805.60

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Solution

The fourth proportional to 394,231,805.60, 591,347,708.40 and 394,231,805.60 is: 591,347,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,231,805.60 : 591,347,708.40 = 394,231,805.60 : x
  2. Step 2: Convert to fraction form
    394,231,805.60/591,347,708.40 = 394,231,805.60/x
  3. Step 3: Cross multiply
    394,231,805.60x = 591,347,708.40 × 394,231,805.60
  4. Step 4: Simplify right side
    394,231,805.60x = 233,128,074,819,954,304
  5. Step 5: Solve for x
    x = 233,128,074,819,954,304/394,231,805.60
  6. Step 6: Final answer
    x = 591,347,708.40

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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.