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Finding the Fourth Proportional to 301,245.30, 451,357.65 and 199,972.62

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Solution

The fourth proportional to 301,245.30, 451,357.65 and 199,972.62 is: 299,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,245.30 : 451,357.65 = 199,972.62 : x
  2. Step 2: Convert to fraction form
    301,245.30/451,357.65 = 199,972.62/x
  3. Step 3: Cross multiply
    301,245.30x = 451,357.65 × 199,972.62
  4. Step 4: Simplify right side
    301,245.30x = 90,259,171,827.54
  5. Step 5: Solve for x
    x = 90,259,171,827.54/301,245.30
  6. Step 6: Final answer
    x = 299,620.18

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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.