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Finding the Fourth Proportional to 428,245.41, 642,427.11 and 143,958.03

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Solution

The fourth proportional to 428,245.41, 642,427.11 and 143,958.03 is: 215,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,245.41 : 642,427.11 = 143,958.03 : x
  2. Step 2: Convert to fraction form
    428,245.41/642,427.11 = 143,958.03/x
  3. Step 3: Cross multiply
    428,245.41x = 642,427.11 × 143,958.03
  4. Step 4: Simplify right side
    428,245.41x = 92,482,541,174.19
  5. Step 5: Solve for x
    x = 92,482,541,174.19/428,245.41
  6. Step 6: Final answer
    x = 215,956.88

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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.