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Finding the Fourth Proportional to 321,211.48, 481,797.76 and 84,548.92

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Solution

The fourth proportional to 321,211.48, 481,797.76 and 84,548.92 is: 126,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,211.48 : 481,797.76 = 84,548.92 : x
  2. Step 2: Convert to fraction form
    321,211.48/481,797.76 = 84,548.92/x
  3. Step 3: Cross multiply
    321,211.48x = 481,797.76 × 84,548.92
  4. Step 4: Simplify right side
    321,211.48x = 40,735,480,266.42
  5. Step 5: Solve for x
    x = 40,735,480,266.42/321,211.48
  6. Step 6: Final answer
    x = 126,818.26

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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.