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Finding the Fourth Proportional to 321,112.96, 481,494.08 and 254,977.92

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Solution

The fourth proportional to 321,112.96, 481,494.08 and 254,977.92 is: 382,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,112.96 : 481,494.08 = 254,977.92 : x
  2. Step 2: Convert to fraction form
    321,112.96/481,494.08 = 254,977.92/x
  3. Step 3: Cross multiply
    321,112.96x = 481,494.08 × 254,977.92
  4. Step 4: Simplify right side
    321,112.96x = 122,770,359,010.71
  5. Step 5: Solve for x
    x = 122,770,359,010.71/321,112.96
  6. Step 6: Final answer
    x = 382,327.64

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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.