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Finding the Fourth Proportional to 263,281.20, 394,806.60 and 105,457.20

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Solution

The fourth proportional to 263,281.20, 394,806.60 and 105,457.20 is: 158,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,281.20 : 394,806.60 = 105,457.20 : x
  2. Step 2: Convert to fraction form
    263,281.20/394,806.60 = 105,457.20/x
  3. Step 3: Cross multiply
    263,281.20x = 394,806.60 × 105,457.20
  4. Step 4: Simplify right side
    263,281.20x = 41,635,198,577.52
  5. Step 5: Solve for x
    x = 41,635,198,577.52/263,281.20
  6. Step 6: Final answer
    x = 158,139.66

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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.