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Finding the Fourth Proportional to 321,883.94, 482,844.35 and 85,220.46

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Solution

The fourth proportional to 321,883.94, 482,844.35 and 85,220.46 is: 127,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,883.94 : 482,844.35 = 85,220.46 : x
  2. Step 2: Convert to fraction form
    321,883.94/482,844.35 = 85,220.46/x
  3. Step 3: Cross multiply
    321,883.94x = 482,844.35 × 85,220.46
  4. Step 4: Simplify right side
    321,883.94x = 41,148,217,189.30
  5. Step 5: Solve for x
    x = 41,148,217,189.30/321,883.94
  6. Step 6: Final answer
    x = 127,835.57

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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.