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Finding the Fourth Proportional to 258,640.56, 356,927.22 and 145,463.31

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Solution

The fourth proportional to 258,640.56, 356,927.22 and 145,463.31 is: 200,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,640.56 : 356,927.22 = 145,463.31 : x
  2. Step 2: Convert to fraction form
    258,640.56/356,927.22 = 145,463.31/x
  3. Step 3: Cross multiply
    258,640.56x = 356,927.22 × 145,463.31
  4. Step 4: Simplify right side
    258,640.56x = 51,919,814,850.30
  5. Step 5: Solve for x
    x = 51,919,814,850.30/258,640.56
  6. Step 6: Final answer
    x = 200,741.19

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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.