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Finding the Fourth Proportional to 200,408.04, 300,611.10 and 50,648.64

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Solution

The fourth proportional to 200,408.04, 300,611.10 and 50,648.64 is: 75,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,408.04 : 300,611.10 = 50,648.64 : x
  2. Step 2: Convert to fraction form
    200,408.04/300,611.10 = 50,648.64/x
  3. Step 3: Cross multiply
    200,408.04x = 300,611.10 × 50,648.64
  4. Step 4: Simplify right side
    200,408.04x = 15,225,543,383.90
  5. Step 5: Solve for x
    x = 15,225,543,383.90/200,408.04
  6. Step 6: Final answer
    x = 75,972.72

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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.