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Finding the Fourth Proportional to 412,427.44, 618,509.40 and 131,878

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Solution

The fourth proportional to 412,427.44, 618,509.40 and 131,878 is: 197,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,427.44 : 618,509.40 = 131,878 : x
  2. Step 2: Convert to fraction form
    412,427.44/618,509.40 = 131,878/x
  3. Step 3: Cross multiply
    412,427.44x = 618,509.40 × 131,878
  4. Step 4: Simplify right side
    412,427.44x = 81,567,782,653.20
  5. Step 5: Solve for x
    x = 81,567,782,653.20/412,427.44
  6. Step 6: Final answer
    x = 197,774.87

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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.