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Finding the Fourth Proportional to 422,218.96, 633,269.88 and 106,656.40

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Solution

The fourth proportional to 422,218.96, 633,269.88 and 106,656.40 is: 159,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,218.96 : 633,269.88 = 106,656.40 : x
  2. Step 2: Convert to fraction form
    422,218.96/633,269.88 = 106,656.40/x
  3. Step 3: Cross multiply
    422,218.96x = 633,269.88 × 106,656.40
  4. Step 4: Simplify right side
    422,218.96x = 67,542,285,629.23
  5. Step 5: Solve for x
    x = 67,542,285,629.23/422,218.96
  6. Step 6: Final answer
    x = 159,969.81

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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.