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Finding the Fourth Proportional to 591,872.83, 816,784.11 and 319,940.71

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Solution

The fourth proportional to 591,872.83, 816,784.11 and 319,940.71 is: 441,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,872.83 : 816,784.11 = 319,940.71 : x
  2. Step 2: Convert to fraction form
    591,872.83/816,784.11 = 319,940.71/x
  3. Step 3: Cross multiply
    591,872.83x = 816,784.11 × 319,940.71
  4. Step 4: Simplify right side
    591,872.83x = 261,322,488,070.12
  5. Step 5: Solve for x
    x = 261,322,488,070.12/591,872.83
  6. Step 6: Final answer
    x = 441,517.97

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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.