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Finding the Fourth Proportional to 321,145.22, 443,174.47 and 177,902.12

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Solution

The fourth proportional to 321,145.22, 443,174.47 and 177,902.12 is: 245,501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,145.22 : 443,174.47 = 177,902.12 : x
  2. Step 2: Convert to fraction form
    321,145.22/443,174.47 = 177,902.12/x
  3. Step 3: Cross multiply
    321,145.22x = 443,174.47 × 177,902.12
  4. Step 4: Simplify right side
    321,145.22x = 78,841,675,082.25
  5. Step 5: Solve for x
    x = 78,841,675,082.25/321,145.22
  6. Step 6: Final answer
    x = 245,501.63

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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.