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Finding the Fourth Proportional to 256,756.78, 354,317.73 and 142,032.43

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Solution

The fourth proportional to 256,756.78, 354,317.73 and 142,032.43 is: 196,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,756.78 : 354,317.73 = 142,032.43 : x
  2. Step 2: Convert to fraction form
    256,756.78/354,317.73 = 142,032.43/x
  3. Step 3: Cross multiply
    256,756.78x = 354,317.73 × 142,032.43
  4. Step 4: Simplify right side
    256,756.78x = 50,324,608,183.98
  5. Step 5: Solve for x
    x = 50,324,608,183.98/256,756.78
  6. Step 6: Final answer
    x = 196,001.09

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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.