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Finding the Fourth Proportional to 270,083.28, 372,712.74 and 149,224.20

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Solution

The fourth proportional to 270,083.28, 372,712.74 and 149,224.20 is: 205,928.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,083.28 : 372,712.74 = 149,224.20 : x
  2. Step 2: Convert to fraction form
    270,083.28/372,712.74 = 149,224.20/x
  3. Step 3: Cross multiply
    270,083.28x = 372,712.74 × 149,224.20
  4. Step 4: Simplify right side
    270,083.28x = 55,617,760,456.31
  5. Step 5: Solve for x
    x = 55,617,760,456.31/270,083.28
  6. Step 6: Final answer
    x = 205,928.19

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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.