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Finding the Fourth Proportional to 393,489.80, 590,234.70 and 342,168.20

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Solution

The fourth proportional to 393,489.80, 590,234.70 and 342,168.20 is: 513,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,489.80 : 590,234.70 = 342,168.20 : x
  2. Step 2: Convert to fraction form
    393,489.80/590,234.70 = 342,168.20/x
  3. Step 3: Cross multiply
    393,489.80x = 590,234.70 × 342,168.20
  4. Step 4: Simplify right side
    393,489.80x = 201,959,544,876.54
  5. Step 5: Solve for x
    x = 201,959,544,876.54/393,489.80
  6. Step 6: Final answer
    x = 513,252.30

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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.