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Finding the Fourth Proportional to 329,492.81, 494,239.22 and 80,174.81

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Solution

The fourth proportional to 329,492.81, 494,239.22 and 80,174.81 is: 120,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,492.81 : 494,239.22 = 80,174.81 : x
  2. Step 2: Convert to fraction form
    329,492.81/494,239.22 = 80,174.81/x
  3. Step 3: Cross multiply
    329,492.81x = 494,239.22 × 80,174.81
  4. Step 4: Simplify right side
    329,492.81x = 39,625,536,693.43
  5. Step 5: Solve for x
    x = 39,625,536,693.43/329,492.81
  6. Step 6: Final answer
    x = 120,262.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.