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Finding the Fourth Proportional to 258,490.33, 356,710.42 and 143,768.64

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Solution

The fourth proportional to 258,490.33, 356,710.42 and 143,768.64 is: 198,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,490.33 : 356,710.42 = 143,768.64 : x
  2. Step 2: Convert to fraction form
    258,490.33/356,710.42 = 143,768.64/x
  3. Step 3: Cross multiply
    258,490.33x = 356,710.42 × 143,768.64
  4. Step 4: Simplify right side
    258,490.33x = 51,283,770,173.68
  5. Step 5: Solve for x
    x = 51,283,770,173.68/258,490.33
  6. Step 6: Final answer
    x = 198,397.25

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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.