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Finding the Fourth Proportional to 496,596.56, 685,318.80 and 281,745.68

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Solution

The fourth proportional to 496,596.56, 685,318.80 and 281,745.68 is: 388,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,596.56 : 685,318.80 = 281,745.68 : x
  2. Step 2: Convert to fraction form
    496,596.56/685,318.80 = 281,745.68/x
  3. Step 3: Cross multiply
    496,596.56x = 685,318.80 × 281,745.68
  4. Step 4: Simplify right side
    496,596.56x = 193,085,611,322.78
  5. Step 5: Solve for x
    x = 193,085,611,322.78/496,596.56
  6. Step 6: Final answer
    x = 388,817.86

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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.