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Finding the Fourth Proportional to 428,287, 642,470.10 and 112,745.56

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Solution

The fourth proportional to 428,287, 642,470.10 and 112,745.56 is: 169,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,287 : 642,470.10 = 112,745.56 : x
  2. Step 2: Convert to fraction form
    428,287/642,470.10 = 112,745.56/x
  3. Step 3: Cross multiply
    428,287x = 642,470.10 × 112,745.56
  4. Step 4: Simplify right side
    428,287x = 72,435,651,207.76
  5. Step 5: Solve for x
    x = 72,435,651,207.76/428,287
  6. Step 6: Final answer
    x = 169,128.76

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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.