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Finding the Fourth Proportional to 321,197.70, 443,256.39 and 177,960

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Solution

The fourth proportional to 321,197.70, 443,256.39 and 177,960 is: 245,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,197.70 : 443,256.39 = 177,960 : x
  2. Step 2: Convert to fraction form
    321,197.70/443,256.39 = 177,960/x
  3. Step 3: Cross multiply
    321,197.70x = 443,256.39 × 177,960
  4. Step 4: Simplify right side
    321,197.70x = 78,881,907,164.40
  5. Step 5: Solve for x
    x = 78,881,907,164.40/321,197.70
  6. Step 6: Final answer
    x = 245,586.77

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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.