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Finding the Fourth Proportional to 397,105, 595,731.30 and 130,884.22

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Solution

The fourth proportional to 397,105, 595,731.30 and 130,884.22 is: 196,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,105 : 595,731.30 = 130,884.22 : x
  2. Step 2: Convert to fraction form
    397,105/595,731.30 = 130,884.22/x
  3. Step 3: Cross multiply
    397,105x = 595,731.30 × 130,884.22
  4. Step 4: Simplify right side
    397,105x = 77,971,826,530.09
  5. Step 5: Solve for x
    x = 77,971,826,530.09/397,105
  6. Step 6: Final answer
    x = 196,350.65

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1.5x scale

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.