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Finding the Fourth Proportional to 397,249.60, 595,701.60 and 130,907.20

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Solution

The fourth proportional to 397,249.60, 595,701.60 and 130,907.20 is: 196,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,249.60 : 595,701.60 = 130,907.20 : x
  2. Step 2: Convert to fraction form
    397,249.60/595,701.60 = 130,907.20/x
  3. Step 3: Cross multiply
    397,249.60x = 595,701.60 × 130,907.20
  4. Step 4: Simplify right side
    397,249.60x = 77,981,628,491.52
  5. Step 5: Solve for x
    x = 77,981,628,491.52/397,249.60
  6. Step 6: Final answer
    x = 196,303.86

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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.