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Finding the Fourth Proportional to 422,302.26, 633,320.78 and 137,928.02

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Solution

The fourth proportional to 422,302.26, 633,320.78 and 137,928.02 is: 206,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,302.26 : 633,320.78 = 137,928.02 : x
  2. Step 2: Convert to fraction form
    422,302.26/633,320.78 = 137,928.02/x
  3. Step 3: Cross multiply
    422,302.26x = 633,320.78 × 137,928.02
  4. Step 4: Simplify right side
    422,302.26x = 87,352,677,354.01
  5. Step 5: Solve for x
    x = 87,352,677,354.01/422,302.26
  6. Step 6: Final answer
    x = 206,848.71

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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.