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Finding the Fourth Proportional to 256,862.74, 354,541.82 and 149,453.52

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Solution

The fourth proportional to 256,862.74, 354,541.82 and 149,453.52 is: 206,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,862.74 : 354,541.82 = 149,453.52 : x
  2. Step 2: Convert to fraction form
    256,862.74/354,541.82 = 149,453.52/x
  3. Step 3: Cross multiply
    256,862.74x = 354,541.82 × 149,453.52
  4. Step 4: Simplify right side
    256,862.74x = 52,987,522,986.21
  5. Step 5: Solve for x
    x = 52,987,522,986.21/256,862.74
  6. Step 6: Final answer
    x = 206,287.31

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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.