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Finding the Fourth Proportional to 428,285, 642,467.10 and 112,743.56

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Solution

The fourth proportional to 428,285, 642,467.10 and 112,743.56 is: 169,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,285 : 642,467.10 = 112,743.56 : x
  2. Step 2: Convert to fraction form
    428,285/642,467.10 = 112,743.56/x
  3. Step 3: Cross multiply
    428,285x = 642,467.10 × 112,743.56
  4. Step 4: Simplify right side
    428,285x = 72,434,028,036.88
  5. Step 5: Solve for x
    x = 72,434,028,036.88/428,285
  6. Step 6: Final answer
    x = 169,125.76

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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.