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Finding the Fourth Proportional to 270,591.30, 405,889.74 and 120,839.22

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Solution

The fourth proportional to 270,591.30, 405,889.74 and 120,839.22 is: 181,260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,591.30 : 405,889.74 = 120,839.22 : x
  2. Step 2: Convert to fraction form
    270,591.30/405,889.74 = 120,839.22/x
  3. Step 3: Cross multiply
    270,591.30x = 405,889.74 × 120,839.22
  4. Step 4: Simplify right side
    270,591.30x = 49,047,399,587.60
  5. Step 5: Solve for x
    x = 49,047,399,587.60/270,591.30
  6. Step 6: Final answer
    x = 181,260.08

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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.