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Finding the Fourth Proportional to 428,548.36, 642,942.90 and 158,672.44

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Solution

The fourth proportional to 428,548.36, 642,942.90 and 158,672.44 is: 238,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,548.36 : 642,942.90 = 158,672.44 : x
  2. Step 2: Convert to fraction form
    428,548.36/642,942.90 = 158,672.44/x
  3. Step 3: Cross multiply
    428,548.36x = 642,942.90 × 158,672.44
  4. Step 4: Simplify right side
    428,548.36x = 102,017,318,723.68
  5. Step 5: Solve for x
    x = 102,017,318,723.68/428,548.36
  6. Step 6: Final answer
    x = 238,053.22

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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.