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Finding the Fourth Proportional to 428,906.10, 643,515.15 and 148,451.70

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Solution

The fourth proportional to 428,906.10, 643,515.15 and 148,451.70 is: 222,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,906.10 : 643,515.15 = 148,451.70 : x
  2. Step 2: Convert to fraction form
    428,906.10/643,515.15 = 148,451.70/x
  3. Step 3: Cross multiply
    428,906.10x = 643,515.15 × 148,451.70
  4. Step 4: Simplify right side
    428,906.10x = 95,530,917,993.26
  5. Step 5: Solve for x
    x = 95,530,917,993.26/428,906.10
  6. Step 6: Final answer
    x = 222,731.54

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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.