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Finding the Fourth Proportional to 419,796.64, 629,938.89 and 176,619.90

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Solution

The fourth proportional to 419,796.64, 629,938.89 and 176,619.90 is: 265,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,796.64 : 629,938.89 = 176,619.90 : x
  2. Step 2: Convert to fraction form
    419,796.64/629,938.89 = 176,619.90/x
  3. Step 3: Cross multiply
    419,796.64x = 629,938.89 × 176,619.90
  4. Step 4: Simplify right side
    419,796.64x = 111,259,743,757.91
  5. Step 5: Solve for x
    x = 111,259,743,757.91/419,796.64
  6. Step 6: Final answer
    x = 265,032.48

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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.