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Finding the Fourth Proportional to 419,148.46, 628,767.45 and 179,287.17

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Solution

The fourth proportional to 419,148.46, 628,767.45 and 179,287.17 is: 268,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,148.46 : 628,767.45 = 179,287.17 : x
  2. Step 2: Convert to fraction form
    419,148.46/628,767.45 = 179,287.17/x
  3. Step 3: Cross multiply
    419,148.46x = 628,767.45 × 179,287.17
  4. Step 4: Simplify right side
    419,148.46x = 112,729,936,698.62
  5. Step 5: Solve for x
    x = 112,729,936,698.62/419,148.46
  6. Step 6: Final answer
    x = 268,949.90

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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.