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Finding the Fourth Proportional to 397,540, 596,182.80 and 131,240.80

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Solution

The fourth proportional to 397,540, 596,182.80 and 131,240.80 is: 196,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,540 : 596,182.80 = 131,240.80 : x
  2. Step 2: Convert to fraction form
    397,540/596,182.80 = 131,240.80/x
  3. Step 3: Cross multiply
    397,540x = 596,182.80 × 131,240.80
  4. Step 4: Simplify right side
    397,540x = 78,243,507,618.24
  5. Step 5: Solve for x
    x = 78,243,507,618.24/397,540
  6. Step 6: Final answer
    x = 196,819.21

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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.