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Finding the Fourth Proportional to 321,121.84, 443,142.58 and 177,878.86

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Solution

The fourth proportional to 321,121.84, 443,142.58 and 177,878.86 is: 245,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,121.84 : 443,142.58 = 177,878.86 : x
  2. Step 2: Convert to fraction form
    321,121.84/443,142.58 = 177,878.86/x
  3. Step 3: Cross multiply
    321,121.84x = 443,142.58 × 177,878.86
  4. Step 4: Simplify right side
    321,121.84x = 78,825,696,947.86
  5. Step 5: Solve for x
    x = 78,825,696,947.86/321,121.84
  6. Step 6: Final answer
    x = 245,469.75

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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.