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Finding the Fourth Proportional to 263,677.60, 395,506.80 and 105,863.20

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Solution

The fourth proportional to 263,677.60, 395,506.80 and 105,863.20 is: 158,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,677.60 : 395,506.80 = 105,863.20 : x
  2. Step 2: Convert to fraction form
    263,677.60/395,506.80 = 105,863.20/x
  3. Step 3: Cross multiply
    263,677.60x = 395,506.80 × 105,863.20
  4. Step 4: Simplify right side
    263,677.60x = 41,869,615,469.76
  5. Step 5: Solve for x
    x = 41,869,615,469.76/263,677.60
  6. Step 6: Final answer
    x = 158,790.95

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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.