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Finding the Fourth Proportional to 628,171.93, 941,900.82 and 428,734

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Solution

The fourth proportional to 628,171.93, 941,900.82 and 428,734 is: 642,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,171.93 : 941,900.82 = 428,734 : x
  2. Step 2: Convert to fraction form
    628,171.93/941,900.82 = 428,734/x
  3. Step 3: Cross multiply
    628,171.93x = 941,900.82 × 428,734
  4. Step 4: Simplify right side
    628,171.93x = 403,824,906,161.88
  5. Step 5: Solve for x
    x = 403,824,906,161.88/628,171.93
  6. Step 6: Final answer
    x = 642,857.29

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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.