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Finding the Fourth Proportional to 418,546.20, 628,164.90 and 194,251.80

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Solution

The fourth proportional to 418,546.20, 628,164.90 and 194,251.80 is: 291,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,546.20 : 628,164.90 = 194,251.80 : x
  2. Step 2: Convert to fraction form
    418,546.20/628,164.90 = 194,251.80/x
  3. Step 3: Cross multiply
    418,546.20x = 628,164.90 × 194,251.80
  4. Step 4: Simplify right side
    418,546.20x = 122,022,162,521.82
  5. Step 5: Solve for x
    x = 122,022,162,521.82/418,546.20
  6. Step 6: Final answer
    x = 291,538.10

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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.