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Finding the Fourth Proportional to 457,238.80, 686,300.88 and 220,747.42

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Solution

The fourth proportional to 457,238.80, 686,300.88 and 220,747.42 is: 331,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,238.80 : 686,300.88 = 220,747.42 : x
  2. Step 2: Convert to fraction form
    457,238.80/686,300.88 = 220,747.42/x
  3. Step 3: Cross multiply
    457,238.80x = 686,300.88 × 220,747.42
  4. Step 4: Simplify right side
    457,238.80x = 151,499,148,603.73
  5. Step 5: Solve for x
    x = 151,499,148,603.73/457,238.80
  6. Step 6: Final answer
    x = 331,334.85

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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.