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Finding the Fourth Proportional to 321,522.08, 443,721.14 and 185,561.75

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Solution

The fourth proportional to 321,522.08, 443,721.14 and 185,561.75 is: 256,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,522.08 : 443,721.14 = 185,561.75 : x
  2. Step 2: Convert to fraction form
    321,522.08/443,721.14 = 185,561.75/x
  3. Step 3: Cross multiply
    321,522.08x = 443,721.14 × 185,561.75
  4. Step 4: Simplify right side
    321,522.08x = 82,337,672,127.75
  5. Step 5: Solve for x
    x = 82,337,672,127.75/321,522.08
  6. Step 6: Final answer
    x = 256,087.15

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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.