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Finding the Fourth Proportional to 457,236.80, 686,297.86 and 220,745.42

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Solution

The fourth proportional to 457,236.80, 686,297.86 and 220,745.42 is: 331,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,236.80 : 686,297.86 = 220,745.42 : x
  2. Step 2: Convert to fraction form
    457,236.80/686,297.86 = 220,745.42/x
  3. Step 3: Cross multiply
    457,236.80x = 686,297.86 × 220,745.42
  4. Step 4: Simplify right side
    457,236.80x = 151,497,109,350.80
  5. Step 5: Solve for x
    x = 151,497,109,350.80/457,236.80
  6. Step 6: Final answer
    x = 331,331.84

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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.