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Finding the Fourth Proportional to 422,329.36, 633,699.24 and 185,641.42

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Solution

The fourth proportional to 422,329.36, 633,699.24 and 185,641.42 is: 278,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,329.36 : 633,699.24 = 185,641.42 : x
  2. Step 2: Convert to fraction form
    422,329.36/633,699.24 = 185,641.42/x
  3. Step 3: Cross multiply
    422,329.36x = 633,699.24 × 185,641.42
  4. Step 4: Simplify right side
    422,329.36x = 117,640,826,766.52
  5. Step 5: Solve for x
    x = 117,640,826,766.52/422,329.36
  6. Step 6: Final answer
    x = 278,552.33

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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.