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Finding the Fourth Proportional to 421,249.04, 631,906.24 and 140,767.28

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Solution

The fourth proportional to 421,249.04, 631,906.24 and 140,767.28 is: 211,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,249.04 : 631,906.24 = 140,767.28 : x
  2. Step 2: Convert to fraction form
    421,249.04/631,906.24 = 140,767.28/x
  3. Step 3: Cross multiply
    421,249.04x = 631,906.24 × 140,767.28
  4. Step 4: Simplify right side
    421,249.04x = 88,951,722,619.83
  5. Step 5: Solve for x
    x = 88,951,722,619.83/421,249.04
  6. Step 6: Final answer
    x = 211,161.84

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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.