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Finding the Fourth Proportional to 393,670.80, 590,506.20 and 194,380.43

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Solution

The fourth proportional to 393,670.80, 590,506.20 and 194,380.43 is: 291,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,670.80 : 590,506.20 = 194,380.43 : x
  2. Step 2: Convert to fraction form
    393,670.80/590,506.20 = 194,380.43/x
  3. Step 3: Cross multiply
    393,670.80x = 590,506.20 × 194,380.43
  4. Step 4: Simplify right side
    393,670.80x = 114,782,846,121.14
  5. Step 5: Solve for x
    x = 114,782,846,121.14/393,670.80
  6. Step 6: Final answer
    x = 291,570.64

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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.