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Finding the Fourth Proportional to 258,836.31, 388,318.86 and 205,728.66

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Solution

The fourth proportional to 258,836.31, 388,318.86 and 205,728.66 is: 308,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,836.31 : 388,318.86 = 205,728.66 : x
  2. Step 2: Convert to fraction form
    258,836.31/388,318.86 = 205,728.66/x
  3. Step 3: Cross multiply
    258,836.31x = 388,318.86 × 205,728.66
  4. Step 4: Simplify right side
    258,836.31x = 79,888,318,720.53
  5. Step 5: Solve for x
    x = 79,888,318,720.53/258,836.31
  6. Step 6: Final answer
    x = 308,644.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.