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Finding the Fourth Proportional to 422,117.28, 633,174.66 and 326,194.08

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Solution

The fourth proportional to 422,117.28, 633,174.66 and 326,194.08 is: 489,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,117.28 : 633,174.66 = 326,194.08 : x
  2. Step 2: Convert to fraction form
    422,117.28/633,174.66 = 326,194.08/x
  3. Step 3: Cross multiply
    422,117.28x = 633,174.66 × 326,194.08
  4. Step 4: Simplify right side
    422,117.28x = 206,537,825,698.01
  5. Step 5: Solve for x
    x = 206,537,825,698.01/422,117.28
  6. Step 6: Final answer
    x = 489,290.15

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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.