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Finding the Fourth Proportional to 309,046.12, 426,468.90 and 189,791.08

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Solution

The fourth proportional to 309,046.12, 426,468.90 and 189,791.08 is: 261,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,046.12 : 426,468.90 = 189,791.08 : x
  2. Step 2: Convert to fraction form
    309,046.12/426,468.90 = 189,791.08/x
  3. Step 3: Cross multiply
    309,046.12x = 426,468.90 × 189,791.08
  4. Step 4: Simplify right side
    309,046.12x = 80,939,993,117.41
  5. Step 5: Solve for x
    x = 80,939,993,117.41/309,046.12
  6. Step 6: Final answer
    x = 261,902.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.