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Finding the Fourth Proportional to 321,234.36, 443,291.46 and 185,274

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Solution

The fourth proportional to 321,234.36, 443,291.46 and 185,274 is: 255,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,234.36 : 443,291.46 = 185,274 : x
  2. Step 2: Convert to fraction form
    321,234.36/443,291.46 = 185,274/x
  3. Step 3: Cross multiply
    321,234.36x = 443,291.46 × 185,274
  4. Step 4: Simplify right side
    321,234.36x = 82,130,381,960.04
  5. Step 5: Solve for x
    x = 82,130,381,960.04/321,234.36
  6. Step 6: Final answer
    x = 255,671.22

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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.