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Finding the Fourth Proportional to 281,604.20, 422,406.30 and 262,941.80

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Solution

The fourth proportional to 281,604.20, 422,406.30 and 262,941.80 is: 394,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,604.20 : 422,406.30 = 262,941.80 : x
  2. Step 2: Convert to fraction form
    281,604.20/422,406.30 = 262,941.80/x
  3. Step 3: Cross multiply
    281,604.20x = 422,406.30 × 262,941.80
  4. Step 4: Simplify right side
    281,604.20x = 111,068,272,853.34
  5. Step 5: Solve for x
    x = 111,068,272,853.34/281,604.20
  6. Step 6: Final answer
    x = 394,412.70

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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.