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Finding the Fourth Proportional to 496,515.86, 685,171.71 and 281,651.31

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Solution

The fourth proportional to 496,515.86, 685,171.71 and 281,651.31 is: 388,667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,515.86 : 685,171.71 = 281,651.31 : x
  2. Step 2: Convert to fraction form
    496,515.86/685,171.71 = 281,651.31/x
  3. Step 3: Cross multiply
    496,515.86x = 685,171.71 × 281,651.31
  4. Step 4: Simplify right side
    496,515.86x = 192,979,509,696.44
  5. Step 5: Solve for x
    x = 192,979,509,696.44/496,515.86
  6. Step 6: Final answer
    x = 388,667.36

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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.