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Finding the Fourth Proportional to 428,065.89, 642,105.11 and 203,449.24

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Solution

The fourth proportional to 428,065.89, 642,105.11 and 203,449.24 is: 305,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,065.89 : 642,105.11 = 203,449.24 : x
  2. Step 2: Convert to fraction form
    428,065.89/642,105.11 = 203,449.24/x
  3. Step 3: Cross multiply
    428,065.89x = 642,105.11 × 203,449.24
  4. Step 4: Simplify right side
    428,065.89x = 130,635,796,629.62
  5. Step 5: Solve for x
    x = 130,635,796,629.62/428,065.89
  6. Step 6: Final answer
    x = 305,176.84

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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.