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Finding the Fourth Proportional to 276,969, 415,287.24 and 127,021.44

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Solution

The fourth proportional to 276,969, 415,287.24 and 127,021.44 is: 190,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,969 : 415,287.24 = 127,021.44 : x
  2. Step 2: Convert to fraction form
    276,969/415,287.24 = 127,021.44/x
  3. Step 3: Cross multiply
    276,969x = 415,287.24 × 127,021.44
  4. Step 4: Simplify right side
    276,969x = 52,750,383,238.43
  5. Step 5: Solve for x
    x = 52,750,383,238.43/276,969
  6. Step 6: Final answer
    x = 190,455.91

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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.