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Finding the Fourth Proportional to 394,375,353.09, 591,616,861.71 and 164,290,629.33

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Solution

The fourth proportional to 394,375,353.09, 591,616,861.71 and 164,290,629.33 is: 246,458,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,375,353.09 : 591,616,861.71 = 164,290,629.33 : x
  2. Step 2: Convert to fraction form
    394,375,353.09/591,616,861.71 = 164,290,629.33/x
  3. Step 3: Cross multiply
    394,375,353.09x = 591,616,861.71 × 164,290,629.33
  4. Step 4: Simplify right side
    394,375,353.09x = 97,197,106,532,575,488
  5. Step 5: Solve for x
    x = 97,197,106,532,575,488/394,375,353.09
  6. Step 6: Final answer
    x = 246,458,369.60

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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.