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Finding the Fourth Proportional to 397,205.52, 595,847.16 and 130,857.36

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Solution

The fourth proportional to 397,205.52, 595,847.16 and 130,857.36 is: 196,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,205.52 : 595,847.16 = 130,857.36 : x
  2. Step 2: Convert to fraction form
    397,205.52/595,847.16 = 130,857.36/x
  3. Step 3: Cross multiply
    397,205.52x = 595,847.16 × 130,857.36
  4. Step 4: Simplify right side
    397,205.52x = 77,970,986,321.10
  5. Step 5: Solve for x
    x = 77,970,986,321.10/397,205.52
  6. Step 6: Final answer
    x = 196,298.85

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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.