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Finding the Fourth Proportional to 397,229.36, 595,717.50 and 130,940.24

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Solution

The fourth proportional to 397,229.36, 595,717.50 and 130,940.24 is: 196,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,229.36 : 595,717.50 = 130,940.24 : x
  2. Step 2: Convert to fraction form
    397,229.36/595,717.50 = 130,940.24/x
  3. Step 3: Cross multiply
    397,229.36x = 595,717.50 × 130,940.24
  4. Step 4: Simplify right side
    397,229.36x = 78,003,392,422.20
  5. Step 5: Solve for x
    x = 78,003,392,422.20/397,229.36
  6. Step 6: Final answer
    x = 196,368.65

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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.