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Finding the Fourth Proportional to 321,057.51, 443,062.62 and 193,708.50

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Solution

The fourth proportional to 321,057.51, 443,062.62 and 193,708.50 is: 267,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,057.51 : 443,062.62 = 193,708.50 : x
  2. Step 2: Convert to fraction form
    321,057.51/443,062.62 = 193,708.50/x
  3. Step 3: Cross multiply
    321,057.51x = 443,062.62 × 193,708.50
  4. Step 4: Simplify right side
    321,057.51x = 85,824,995,526.27
  5. Step 5: Solve for x
    x = 85,824,995,526.27/321,057.51
  6. Step 6: Final answer
    x = 267,319.69

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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.