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Finding the Fourth Proportional to 419,474.30, 628,962.57 and 166,618.82

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Solution

The fourth proportional to 419,474.30, 628,962.57 and 166,618.82 is: 249,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,474.30 : 628,962.57 = 166,618.82 : x
  2. Step 2: Convert to fraction form
    419,474.30/628,962.57 = 166,618.82/x
  3. Step 3: Cross multiply
    419,474.30x = 628,962.57 × 166,618.82
  4. Step 4: Simplify right side
    419,474.30x = 104,797,002,809.97
  5. Step 5: Solve for x
    x = 104,797,002,809.97/419,474.30
  6. Step 6: Final answer
    x = 249,829.38

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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.