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Finding the Fourth Proportional to 295,274.20, 442,911.30 and 206,627.80

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Solution

The fourth proportional to 295,274.20, 442,911.30 and 206,627.80 is: 309,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,274.20 : 442,911.30 = 206,627.80 : x
  2. Step 2: Convert to fraction form
    295,274.20/442,911.30 = 206,627.80/x
  3. Step 3: Cross multiply
    295,274.20x = 442,911.30 × 206,627.80
  4. Step 4: Simplify right side
    295,274.20x = 91,517,787,514.14
  5. Step 5: Solve for x
    x = 91,517,787,514.14/295,274.20
  6. Step 6: Final answer
    x = 309,941.70

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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.