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Finding the Fourth Proportional to 496,719.70, 685,454.14 and 281,846.94

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Solution

The fourth proportional to 496,719.70, 685,454.14 and 281,846.94 is: 388,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,719.70 : 685,454.14 = 281,846.94 : x
  2. Step 2: Convert to fraction form
    496,719.70/685,454.14 = 281,846.94/x
  3. Step 3: Cross multiply
    496,719.70x = 685,454.14 × 281,846.94
  4. Step 4: Simplify right side
    496,719.70x = 193,193,151,869.33
  5. Step 5: Solve for x
    x = 193,193,151,869.33/496,719.70
  6. Step 6: Final answer
    x = 388,937.97

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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.