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Finding the Fourth Proportional to 457,522.57, 686,288.49 and 120,611.56

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Solution

The fourth proportional to 457,522.57, 686,288.49 and 120,611.56 is: 180,918.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,522.57 : 686,288.49 = 120,611.56 : x
  2. Step 2: Convert to fraction form
    457,522.57/686,288.49 = 120,611.56/x
  3. Step 3: Cross multiply
    457,522.57x = 686,288.49 × 120,611.56
  4. Step 4: Simplify right side
    457,522.57x = 82,774,325,388.94
  5. Step 5: Solve for x
    x = 82,774,325,388.94/457,522.57
  6. Step 6: Final answer
    x = 180,918.56

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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.