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Finding the Fourth Proportional to 419,517.34, 628,715.46 and 153,027.34

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Solution

The fourth proportional to 419,517.34, 628,715.46 and 153,027.34 is: 229,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,517.34 : 628,715.46 = 153,027.34 : x
  2. Step 2: Convert to fraction form
    419,517.34/628,715.46 = 153,027.34/x
  3. Step 3: Cross multiply
    419,517.34x = 628,715.46 × 153,027.34
  4. Step 4: Simplify right side
    419,517.34x = 96,210,654,460.68
  5. Step 5: Solve for x
    x = 96,210,654,460.68/419,517.34
  6. Step 6: Final answer
    x = 229,336.54

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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.