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Finding the Fourth Proportional to 220,843, 331,264.50 and 54,631

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Solution

The fourth proportional to 220,843, 331,264.50 and 54,631 is: 81,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,843 : 331,264.50 = 54,631 : x
  2. Step 2: Convert to fraction form
    220,843/331,264.50 = 54,631/x
  3. Step 3: Cross multiply
    220,843x = 331,264.50 × 54,631
  4. Step 4: Simplify right side
    220,843x = 18,097,310,899.50
  5. Step 5: Solve for x
    x = 18,097,310,899.50/220,843
  6. Step 6: Final answer
    x = 81,946.50

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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.