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Finding the Fourth Proportional to 428,037.27, 642,235.11 and 188,027.38

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Solution

The fourth proportional to 428,037.27, 642,235.11 and 188,027.38 is: 282,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,037.27 : 642,235.11 = 188,027.38 : x
  2. Step 2: Convert to fraction form
    428,037.27/642,235.11 = 188,027.38/x
  3. Step 3: Cross multiply
    428,037.27x = 642,235.11 × 188,027.38
  4. Step 4: Simplify right side
    428,037.27x = 120,757,785,077.31
  5. Step 5: Solve for x
    x = 120,757,785,077.31/428,037.27
  6. Step 6: Final answer
    x = 282,119.79

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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.