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Finding the Fourth Proportional to 496,731.76, 685,470.80 and 281,859

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Solution

The fourth proportional to 496,731.76, 685,470.80 and 281,859 is: 388,954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,731.76 : 685,470.80 = 281,859 : x
  2. Step 2: Convert to fraction form
    496,731.76/685,470.80 = 281,859/x
  3. Step 3: Cross multiply
    496,731.76x = 685,470.80 × 281,859
  4. Step 4: Simplify right side
    496,731.76x = 193,206,114,217.20
  5. Step 5: Solve for x
    x = 193,206,114,217.20/496,731.76
  6. Step 6: Final answer
    x = 388,954.62

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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.