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Finding the Fourth Proportional to 270,663.20, 405,994.80 and 122,919.20

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Solution

The fourth proportional to 270,663.20, 405,994.80 and 122,919.20 is: 184,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,663.20 : 405,994.80 = 122,919.20 : x
  2. Step 2: Convert to fraction form
    270,663.20/405,994.80 = 122,919.20/x
  3. Step 3: Cross multiply
    270,663.20x = 405,994.80 × 122,919.20
  4. Step 4: Simplify right side
    270,663.20x = 49,904,556,020.16
  5. Step 5: Solve for x
    x = 49,904,556,020.16/270,663.20
  6. Step 6: Final answer
    x = 184,378.80

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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.