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Finding the Fourth Proportional to 428,092.44, 642,087.54 and 112,573.92

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Solution

The fourth proportional to 428,092.44, 642,087.54 and 112,573.92 is: 168,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,092.44 : 642,087.54 = 112,573.92 : x
  2. Step 2: Convert to fraction form
    428,092.44/642,087.54 = 112,573.92/x
  3. Step 3: Cross multiply
    428,092.44x = 642,087.54 × 112,573.92
  4. Step 4: Simplify right side
    428,092.44x = 72,282,311,360.96
  5. Step 5: Solve for x
    x = 72,282,311,360.96/428,092.44
  6. Step 6: Final answer
    x = 168,847.44

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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.