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Finding the Fourth Proportional to 361,051.60, 498,266.78 and 199,906.64

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Solution

The fourth proportional to 361,051.60, 498,266.78 and 199,906.64 is: 275,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,051.60 : 498,266.78 = 199,906.64 : x
  2. Step 2: Convert to fraction form
    361,051.60/498,266.78 = 199,906.64/x
  3. Step 3: Cross multiply
    361,051.60x = 498,266.78 × 199,906.64
  4. Step 4: Simplify right side
    361,051.60x = 99,606,837,813.42
  5. Step 5: Solve for x
    x = 99,606,837,813.42/361,051.60
  6. Step 6: Final answer
    x = 275,879.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.