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Finding the Fourth Proportional to 277,997.50, 416,999.91 and 91,009

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Solution

The fourth proportional to 277,997.50, 416,999.91 and 91,009 is: 136,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,997.50 : 416,999.91 = 91,009 : x
  2. Step 2: Convert to fraction form
    277,997.50/416,999.91 = 91,009/x
  3. Step 3: Cross multiply
    277,997.50x = 416,999.91 × 91,009
  4. Step 4: Simplify right side
    277,997.50x = 37,950,744,809.19
  5. Step 5: Solve for x
    x = 37,950,744,809.19/277,997.50
  6. Step 6: Final answer
    x = 136,514.70

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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.