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Finding the Fourth Proportional to 321,220.82, 443,266.08 and 177,972.32

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Solution

The fourth proportional to 321,220.82, 443,266.08 and 177,972.32 is: 245,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,220.82 : 443,266.08 = 177,972.32 : x
  2. Step 2: Convert to fraction form
    321,220.82/443,266.08 = 177,972.32/x
  3. Step 3: Cross multiply
    321,220.82x = 443,266.08 × 177,972.32
  4. Step 4: Simplify right side
    321,220.82x = 78,889,092,634.91
  5. Step 5: Solve for x
    x = 78,889,092,634.91/321,220.82
  6. Step 6: Final answer
    x = 245,591.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.