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Finding the Fourth Proportional to 496,645.37, 685,350.44 and 281,780.83

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Solution

The fourth proportional to 496,645.37, 685,350.44 and 281,780.83 is: 388,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,645.37 : 685,350.44 = 281,780.83 : x
  2. Step 2: Convert to fraction form
    496,645.37/685,350.44 = 281,780.83/x
  3. Step 3: Cross multiply
    496,645.37x = 685,350.44 × 281,780.83
  4. Step 4: Simplify right side
    496,645.37x = 193,118,613,265.94
  5. Step 5: Solve for x
    x = 193,118,613,265.94/496,645.37
  6. Step 6: Final answer
    x = 388,846.09

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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.