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Finding the Fourth Proportional to 259,807.37, 389,721.98 and 82,310.45

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Solution

The fourth proportional to 259,807.37, 389,721.98 and 82,310.45 is: 123,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,807.37 : 389,721.98 = 82,310.45 : x
  2. Step 2: Convert to fraction form
    259,807.37/389,721.98 = 82,310.45/x
  3. Step 3: Cross multiply
    259,807.37x = 389,721.98 × 82,310.45
  4. Step 4: Simplify right side
    259,807.37x = 32,078,189,805.86
  5. Step 5: Solve for x
    x = 32,078,189,805.86/259,807.37
  6. Step 6: Final answer
    x = 123,469.13

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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.