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Finding the Fourth Proportional to 422,647.80, 632,805.30 and 329,335.80

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Solution

The fourth proportional to 422,647.80, 632,805.30 and 329,335.80 is: 493,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,647.80 : 632,805.30 = 329,335.80 : x
  2. Step 2: Convert to fraction form
    422,647.80/632,805.30 = 329,335.80/x
  3. Step 3: Cross multiply
    422,647.80x = 632,805.30 × 329,335.80
  4. Step 4: Simplify right side
    422,647.80x = 208,405,439,719.74
  5. Step 5: Solve for x
    x = 208,405,439,719.74/422,647.80
  6. Step 6: Final answer
    x = 493,094.82

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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.