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Finding the Fourth Proportional to 312,634.22, 431,443.24 and 191,842.25

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Solution

The fourth proportional to 312,634.22, 431,443.24 and 191,842.25 is: 264,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,634.22 : 431,443.24 = 191,842.25 : x
  2. Step 2: Convert to fraction form
    312,634.22/431,443.24 = 191,842.25/x
  3. Step 3: Cross multiply
    312,634.22x = 431,443.24 × 191,842.25
  4. Step 4: Simplify right side
    312,634.22x = 82,769,039,272.07
  5. Step 5: Solve for x
    x = 82,769,039,272.07/312,634.22
  6. Step 6: Final answer
    x = 264,747.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.