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Finding the Fourth Proportional to 274,304.37, 411,456.69 and 180,129.45

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Solution

The fourth proportional to 274,304.37, 411,456.69 and 180,129.45 is: 270,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,304.37 : 411,456.69 = 180,129.45 : x
  2. Step 2: Convert to fraction form
    274,304.37/411,456.69 = 180,129.45/x
  3. Step 3: Cross multiply
    274,304.37x = 411,456.69 × 180,129.45
  4. Step 4: Simplify right side
    274,304.37x = 74,115,467,268.52
  5. Step 5: Solve for x
    x = 74,115,467,268.52/274,304.37
  6. Step 6: Final answer
    x = 270,194.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.