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Finding the Fourth Proportional to 457,092.90, 685,748.70 and 220,240.80

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Solution

The fourth proportional to 457,092.90, 685,748.70 and 220,240.80 is: 330,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,092.90 : 685,748.70 = 220,240.80 : x
  2. Step 2: Convert to fraction form
    457,092.90/685,748.70 = 220,240.80/x
  3. Step 3: Cross multiply
    457,092.90x = 685,748.70 × 220,240.80
  4. Step 4: Simplify right side
    457,092.90x = 151,029,842,286.96
  5. Step 5: Solve for x
    x = 151,029,842,286.96/457,092.90
  6. Step 6: Final answer
    x = 330,413.89

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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.