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Finding the Fourth Proportional to 321,275, 443,369.22 and 178,021.64

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Solution

The fourth proportional to 321,275, 443,369.22 and 178,021.64 is: 245,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,275 : 443,369.22 = 178,021.64 : x
  2. Step 2: Convert to fraction form
    321,275/443,369.22 = 178,021.64/x
  3. Step 3: Cross multiply
    321,275x = 443,369.22 × 178,021.64
  4. Step 4: Simplify right side
    321,275x = 78,929,315,669.92
  5. Step 5: Solve for x
    x = 78,929,315,669.92/321,275
  6. Step 6: Final answer
    x = 245,675.25

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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.