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Finding the Fourth Proportional to 270,377.80, 405,797.10 and 120,848.20

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Solution

The fourth proportional to 270,377.80, 405,797.10 and 120,848.20 is: 181,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,377.80 : 405,797.10 = 120,848.20 : x
  2. Step 2: Convert to fraction form
    270,377.80/405,797.10 = 120,848.20/x
  3. Step 3: Cross multiply
    270,377.80x = 405,797.10 × 120,848.20
  4. Step 4: Simplify right side
    270,377.80x = 49,039,849,100.22
  5. Step 5: Solve for x
    x = 49,039,849,100.22/270,377.80
  6. Step 6: Final answer
    x = 181,375.28

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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.