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Finding the Fourth Proportional to 308,791.40, 463,208.70 and 121,778.60

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Solution

The fourth proportional to 308,791.40, 463,208.70 and 121,778.60 is: 182,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,791.40 : 463,208.70 = 121,778.60 : x
  2. Step 2: Convert to fraction form
    308,791.40/463,208.70 = 121,778.60/x
  3. Step 3: Cross multiply
    308,791.40x = 463,208.70 × 121,778.60
  4. Step 4: Simplify right side
    308,791.40x = 56,408,906,993.82
  5. Step 5: Solve for x
    x = 56,408,906,993.82/308,791.40
  6. Step 6: Final answer
    x = 182,676.42

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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.