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Finding the Fourth Proportional to 428,644.60, 642,993.64 and 113,101.80

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Solution

The fourth proportional to 428,644.60, 642,993.64 and 113,101.80 is: 169,659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,644.60 : 642,993.64 = 113,101.80 : x
  2. Step 2: Convert to fraction form
    428,644.60/642,993.64 = 113,101.80/x
  3. Step 3: Cross multiply
    428,644.60x = 642,993.64 × 113,101.80
  4. Step 4: Simplify right side
    428,644.60x = 72,723,738,072.55
  5. Step 5: Solve for x
    x = 72,723,738,072.55/428,644.60
  6. Step 6: Final answer
    x = 169,659.76

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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.