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Finding the Fourth Proportional to 457,813.80, 686,234.70 and 221,002.20

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Solution

The fourth proportional to 457,813.80, 686,234.70 and 221,002.20 is: 331,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,813.80 : 686,234.70 = 221,002.20 : x
  2. Step 2: Convert to fraction form
    457,813.80/686,234.70 = 221,002.20/x
  3. Step 3: Cross multiply
    457,813.80x = 686,234.70 × 221,002.20
  4. Step 4: Simplify right side
    457,813.80x = 151,659,378,416.34
  5. Step 5: Solve for x
    x = 151,659,378,416.34/457,813.80
  6. Step 6: Final answer
    x = 331,268.69

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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.