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Finding the Fourth Proportional to 321,224.46, 443,283.21 and 177,984.06

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Solution

The fourth proportional to 321,224.46, 443,283.21 and 177,984.06 is: 245,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,224.46 : 443,283.21 = 177,984.06 : x
  2. Step 2: Convert to fraction form
    321,224.46/443,283.21 = 177,984.06/x
  3. Step 3: Cross multiply
    321,224.46x = 443,283.21 × 177,984.06
  4. Step 4: Simplify right side
    321,224.46x = 78,897,345,445.63
  5. Step 5: Solve for x
    x = 78,897,345,445.63/321,224.46
  6. Step 6: Final answer
    x = 245,614.38

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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.