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Finding the Fourth Proportional to 428,843.92, 643,178.40 and 162,512.68

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Solution

The fourth proportional to 428,843.92, 643,178.40 and 162,512.68 is: 243,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,843.92 : 643,178.40 = 162,512.68 : x
  2. Step 2: Convert to fraction form
    428,843.92/643,178.40 = 162,512.68/x
  3. Step 3: Cross multiply
    428,843.92x = 643,178.40 × 162,512.68
  4. Step 4: Simplify right side
    428,843.92x = 104,524,645,502.11
  5. Step 5: Solve for x
    x = 104,524,645,502.11/428,843.92
  6. Step 6: Final answer
    x = 243,735.87

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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.