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Finding the Fourth Proportional to 321,418.29, 443,467.46 and 253,223.63

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Solution

The fourth proportional to 321,418.29, 443,467.46 and 253,223.63 is: 349,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,418.29 : 443,467.46 = 253,223.63 : x
  2. Step 2: Convert to fraction form
    321,418.29/443,467.46 = 253,223.63/x
  3. Step 3: Cross multiply
    321,418.29x = 443,467.46 × 253,223.63
  4. Step 4: Simplify right side
    321,418.29x = 112,296,436,524.62
  5. Step 5: Solve for x
    x = 112,296,436,524.62/321,418.29
  6. Step 6: Final answer
    x = 349,377.87

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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.