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Finding the Fourth Proportional to 457,589.70, 686,190.15 and 221,004.90

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Solution

The fourth proportional to 457,589.70, 686,190.15 and 221,004.90 is: 331,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,589.70 : 686,190.15 = 221,004.90 : x
  2. Step 2: Convert to fraction form
    457,589.70/686,190.15 = 221,004.90/x
  3. Step 3: Cross multiply
    457,589.70x = 686,190.15 × 221,004.90
  4. Step 4: Simplify right side
    457,589.70x = 151,651,385,481.74
  5. Step 5: Solve for x
    x = 151,651,385,481.74/457,589.70
  6. Step 6: Final answer
    x = 331,413.46

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1.5x scale

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.