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Finding the Fourth Proportional to 419,259.97, 628,801.75 and 134,975.94

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Solution

The fourth proportional to 419,259.97, 628,801.75 and 134,975.94 is: 202,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,259.97 : 628,801.75 = 134,975.94 : x
  2. Step 2: Convert to fraction form
    419,259.97/628,801.75 = 134,975.94/x
  3. Step 3: Cross multiply
    419,259.97x = 628,801.75 × 134,975.94
  4. Step 4: Simplify right side
    419,259.97x = 84,873,107,279.90
  5. Step 5: Solve for x
    x = 84,873,107,279.90/419,259.97
  6. Step 6: Final answer
    x = 202,435.51

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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.