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Finding the Fourth Proportional to 329,990.70, 494,538.32 and 140,213.10

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Solution

The fourth proportional to 329,990.70, 494,538.32 and 140,213.10 is: 210,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,990.70 : 494,538.32 = 140,213.10 : x
  2. Step 2: Convert to fraction form
    329,990.70/494,538.32 = 140,213.10/x
  3. Step 3: Cross multiply
    329,990.70x = 494,538.32 × 140,213.10
  4. Step 4: Simplify right side
    329,990.70x = 69,340,750,214.93
  5. Step 5: Solve for x
    x = 69,340,750,214.93/329,990.70
  6. Step 6: Final answer
    x = 210,129.41

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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.