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Finding the Fourth Proportional to 307,345, 461,198.94 and 129,840.52

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Solution

The fourth proportional to 307,345, 461,198.94 and 129,840.52 is: 194,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,345 : 461,198.94 = 129,840.52 : x
  2. Step 2: Convert to fraction form
    307,345/461,198.94 = 129,840.52/x
  3. Step 3: Cross multiply
    307,345x = 461,198.94 × 129,840.52
  4. Step 4: Simplify right side
    307,345x = 59,882,310,193.05
  5. Step 5: Solve for x
    x = 59,882,310,193.05/307,345
  6. Step 6: Final answer
    x = 194,837.43

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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.