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Finding the Fourth Proportional to 496,765.48, 685,497.27 and 281,905.54

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Solution

The fourth proportional to 496,765.48, 685,497.27 and 281,905.54 is: 389,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,765.48 : 685,497.27 = 281,905.54 : x
  2. Step 2: Convert to fraction form
    496,765.48/685,497.27 = 281,905.54/x
  3. Step 3: Cross multiply
    496,765.48x = 685,497.27 × 281,905.54
  4. Step 4: Simplify right side
    496,765.48x = 193,245,479,981.89
  5. Step 5: Solve for x
    x = 193,245,479,981.89/496,765.48
  6. Step 6: Final answer
    x = 389,007.47

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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.