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Finding the Fourth Proportional to 270,376.80, 405,795.60 and 120,847.20

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Solution

The fourth proportional to 270,376.80, 405,795.60 and 120,847.20 is: 181,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,376.80 : 405,795.60 = 120,847.20 : x
  2. Step 2: Convert to fraction form
    270,376.80/405,795.60 = 120,847.20/x
  3. Step 3: Cross multiply
    270,376.80x = 405,795.60 × 120,847.20
  4. Step 4: Simplify right side
    270,376.80x = 49,039,262,032.32
  5. Step 5: Solve for x
    x = 49,039,262,032.32/270,376.80
  6. Step 6: Final answer
    x = 181,373.78

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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.