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Finding the Fourth Proportional to 428,134.60, 642,199.74 and 108,286.48

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Solution

The fourth proportional to 428,134.60, 642,199.74 and 108,286.48 is: 162,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,134.60 : 642,199.74 = 108,286.48 : x
  2. Step 2: Convert to fraction form
    428,134.60/642,199.74 = 108,286.48/x
  3. Step 3: Cross multiply
    428,134.60x = 642,199.74 × 108,286.48
  4. Step 4: Simplify right side
    428,134.60x = 69,541,549,301.52
  5. Step 5: Solve for x
    x = 69,541,549,301.52/428,134.60
  6. Step 6: Final answer
    x = 162,429.17

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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.