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Finding the Fourth Proportional to 256,682.90, 354,204.42 and 149,245.32

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Solution

The fourth proportional to 256,682.90, 354,204.42 and 149,245.32 is: 205,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,682.90 : 354,204.42 = 149,245.32 : x
  2. Step 2: Convert to fraction form
    256,682.90/354,204.42 = 149,245.32/x
  3. Step 3: Cross multiply
    256,682.90x = 354,204.42 × 149,245.32
  4. Step 4: Simplify right side
    256,682.90x = 52,863,352,008.31
  5. Step 5: Solve for x
    x = 52,863,352,008.31/256,682.90
  6. Step 6: Final answer
    x = 205,948.09

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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.