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Finding the Fourth Proportional to 419,307.38, 628,966.54 and 119,797.73

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Solution

The fourth proportional to 419,307.38, 628,966.54 and 119,797.73 is: 179,698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,307.38 : 628,966.54 = 119,797.73 : x
  2. Step 2: Convert to fraction form
    419,307.38/628,966.54 = 119,797.73/x
  3. Step 3: Cross multiply
    419,307.38x = 628,966.54 × 119,797.73
  4. Step 4: Simplify right side
    419,307.38x = 75,348,765,310.37
  5. Step 5: Solve for x
    x = 75,348,765,310.37/419,307.38
  6. Step 6: Final answer
    x = 179,698.16

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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.