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Finding the Fourth Proportional to 259,699.91, 389,697.84 and 207,441.54

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Solution

The fourth proportional to 259,699.91, 389,697.84 and 207,441.54 is: 311,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,699.91 : 389,697.84 = 207,441.54 : x
  2. Step 2: Convert to fraction form
    259,699.91/389,697.84 = 207,441.54/x
  3. Step 3: Cross multiply
    259,699.91x = 389,697.84 × 207,441.54
  4. Step 4: Simplify right side
    259,699.91x = 80,839,520,064.27
  5. Step 5: Solve for x
    x = 80,839,520,064.27/259,699.91
  6. Step 6: Final answer
    x = 311,280.51

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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.