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Finding the Fourth Proportional to 422,002.53, 632,539.38 and 208,454.28

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Solution

The fourth proportional to 422,002.53, 632,539.38 and 208,454.28 is: 312,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,002.53 : 632,539.38 = 208,454.28 : x
  2. Step 2: Convert to fraction form
    422,002.53/632,539.38 = 208,454.28/x
  3. Step 3: Cross multiply
    422,002.53x = 632,539.38 × 208,454.28
  4. Step 4: Simplify right side
    422,002.53x = 131,855,541,029.55
  5. Step 5: Solve for x
    x = 131,855,541,029.55/422,002.53
  6. Step 6: Final answer
    x = 312,452.02

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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.