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Finding the Fourth Proportional to 347,270.20, 520,086.10 and 214,559.80

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Solution

The fourth proportional to 347,270.20, 520,086.10 and 214,559.80 is: 321,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,270.20 : 520,086.10 = 214,559.80 : x
  2. Step 2: Convert to fraction form
    347,270.20/520,086.10 = 214,559.80/x
  3. Step 3: Cross multiply
    347,270.20x = 520,086.10 × 214,559.80
  4. Step 4: Simplify right side
    347,270.20x = 111,589,569,598.78
  5. Step 5: Solve for x
    x = 111,589,569,598.78/347,270.20
  6. Step 6: Final answer
    x = 321,333.56

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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.