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Finding the Fourth Proportional to 329,423.42, 494,135.14 and 80,105.42

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Solution

The fourth proportional to 329,423.42, 494,135.14 and 80,105.42 is: 120,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,423.42 : 494,135.14 = 80,105.42 : x
  2. Step 2: Convert to fraction form
    329,423.42/494,135.14 = 80,105.42/x
  3. Step 3: Cross multiply
    329,423.42x = 494,135.14 × 80,105.42
  4. Step 4: Simplify right side
    329,423.42x = 39,582,902,926.46
  5. Step 5: Solve for x
    x = 39,582,902,926.46/329,423.42
  6. Step 6: Final answer
    x = 120,158.13

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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.