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Finding the Fourth Proportional to 457,086.90, 685,739.70 and 220,234.80

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Solution

The fourth proportional to 457,086.90, 685,739.70 and 220,234.80 is: 330,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,086.90 : 685,739.70 = 220,234.80 : x
  2. Step 2: Convert to fraction form
    457,086.90/685,739.70 = 220,234.80/x
  3. Step 3: Cross multiply
    457,086.90x = 685,739.70 × 220,234.80
  4. Step 4: Simplify right side
    457,086.90x = 151,023,745,681.56
  5. Step 5: Solve for x
    x = 151,023,745,681.56/457,086.90
  6. Step 6: Final answer
    x = 330,404.89

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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.