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Finding the Fourth Proportional to 457,231.52, 686,289.96 and 220,740.20

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Solution

The fourth proportional to 457,231.52, 686,289.96 and 220,740.20 is: 331,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,231.52 : 686,289.96 = 220,740.20 : x
  2. Step 2: Convert to fraction form
    457,231.52/686,289.96 = 220,740.20/x
  3. Step 3: Cross multiply
    457,231.52x = 686,289.96 × 220,740.20
  4. Step 4: Simplify right side
    457,231.52x = 151,491,783,028.39
  5. Step 5: Solve for x
    x = 151,491,783,028.39/457,231.52
  6. Step 6: Final answer
    x = 331,324.02

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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.