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Finding the Fourth Proportional to 259,180.56, 388,048.32 and 132,548.40

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Solution

The fourth proportional to 259,180.56, 388,048.32 and 132,548.40 is: 198,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,180.56 : 388,048.32 = 132,548.40 : x
  2. Step 2: Convert to fraction form
    259,180.56/388,048.32 = 132,548.40/x
  3. Step 3: Cross multiply
    259,180.56x = 388,048.32 × 132,548.40
  4. Step 4: Simplify right side
    259,180.56x = 51,435,183,938.69
  5. Step 5: Solve for x
    x = 51,435,183,938.69/259,180.56
  6. Step 6: Final answer
    x = 198,453.09

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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.