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Finding the Fourth Proportional to 422,640,361.64, 633,965,422.44 and 127,538,036.97

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Solution

The fourth proportional to 422,640,361.64, 633,965,422.44 and 127,538,036.97 is: 191,308,528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,640,361.64 : 633,965,422.44 = 127,538,036.97 : x
  2. Step 2: Convert to fraction form
    422,640,361.64/633,965,422.44 = 127,538,036.97/x
  3. Step 3: Cross multiply
    422,640,361.64x = 633,965,422.44 × 127,538,036.97
  4. Step 4: Simplify right side
    422,640,361.64x = 80,854,705,481,877,584
  5. Step 5: Solve for x
    x = 80,854,705,481,877,584/422,640,361.64
  6. Step 6: Final answer
    x = 191,308,528.05

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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.