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Finding the Fourth Proportional to 277,996.50, 416,998.41 and 91,008

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Solution

The fourth proportional to 277,996.50, 416,998.41 and 91,008 is: 136,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,996.50 : 416,998.41 = 91,008 : x
  2. Step 2: Convert to fraction form
    277,996.50/416,998.41 = 91,008/x
  3. Step 3: Cross multiply
    277,996.50x = 416,998.41 × 91,008
  4. Step 4: Simplify right side
    277,996.50x = 37,950,191,297.28
  5. Step 5: Solve for x
    x = 37,950,191,297.28/277,996.50
  6. Step 6: Final answer
    x = 136,513.20

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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.