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Finding the Fourth Proportional to 496,535.89, 685,232.85 and 281,708.23

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Solution

The fourth proportional to 496,535.89, 685,232.85 and 281,708.23 is: 388,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,535.89 : 685,232.85 = 281,708.23 : x
  2. Step 2: Convert to fraction form
    496,535.89/685,232.85 = 281,708.23/x
  3. Step 3: Cross multiply
    496,535.89x = 685,232.85 × 281,708.23
  4. Step 4: Simplify right side
    496,535.89x = 193,035,733,311.36
  5. Step 5: Solve for x
    x = 193,035,733,311.36/496,535.89
  6. Step 6: Final answer
    x = 388,764.92

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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.