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Finding the Fourth Proportional to 412,429.44, 618,512.40 and 131,880

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Solution

The fourth proportional to 412,429.44, 618,512.40 and 131,880 is: 197,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,429.44 : 618,512.40 = 131,880 : x
  2. Step 2: Convert to fraction form
    412,429.44/618,512.40 = 131,880/x
  3. Step 3: Cross multiply
    412,429.44x = 618,512.40 × 131,880
  4. Step 4: Simplify right side
    412,429.44x = 81,569,415,312
  5. Step 5: Solve for x
    x = 81,569,415,312/412,429.44
  6. Step 6: Final answer
    x = 197,777.87

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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.