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Finding the Fourth Proportional to 496,728.51, 685,466.31 and 281,855.76

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Solution

The fourth proportional to 496,728.51, 685,466.31 and 281,855.76 is: 388,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,728.51 : 685,466.31 = 281,855.76 : x
  2. Step 2: Convert to fraction form
    496,728.51/685,466.31 = 281,855.76/x
  3. Step 3: Cross multiply
    496,728.51x = 685,466.31 × 281,855.76
  4. Step 4: Simplify right side
    496,728.51x = 193,202,627,759.45
  5. Step 5: Solve for x
    x = 193,202,627,759.45/496,728.51
  6. Step 6: Final answer
    x = 388,950.15

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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.