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Finding the Fourth Proportional to 496,836.48, 685,517.76 and 281,928

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Solution

The fourth proportional to 496,836.48, 685,517.76 and 281,928 is: 388,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,836.48 : 685,517.76 = 281,928 : x
  2. Step 2: Convert to fraction form
    496,836.48/685,517.76 = 281,928/x
  3. Step 3: Cross multiply
    496,836.48x = 685,517.76 × 281,928
  4. Step 4: Simplify right side
    496,836.48x = 193,266,651,041.28
  5. Step 5: Solve for x
    x = 193,266,651,041.28/496,836.48
  6. Step 6: Final answer
    x = 388,994.49

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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.