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Finding the Fourth Proportional to 258,667.56, 356,959.62 and 145,491.48

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Solution

The fourth proportional to 258,667.56, 356,959.62 and 145,491.48 is: 200,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,667.56 : 356,959.62 = 145,491.48 : x
  2. Step 2: Convert to fraction form
    258,667.56/356,959.62 = 145,491.48/x
  3. Step 3: Cross multiply
    258,667.56x = 356,959.62 × 145,491.48
  4. Step 4: Simplify right side
    258,667.56x = 51,934,583,414.04
  5. Step 5: Solve for x
    x = 51,934,583,414.04/258,667.56
  6. Step 6: Final answer
    x = 200,777.34

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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.