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Finding the Fourth Proportional to 235,048.82, 324,634.43 and 158,435.78

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Solution

The fourth proportional to 235,048.82, 324,634.43 and 158,435.78 is: 218,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,048.82 : 324,634.43 = 158,435.78 : x
  2. Step 2: Convert to fraction form
    235,048.82/324,634.43 = 158,435.78/x
  3. Step 3: Cross multiply
    235,048.82x = 324,634.43 × 158,435.78
  4. Step 4: Simplify right side
    235,048.82x = 51,433,707,904.82
  5. Step 5: Solve for x
    x = 51,433,707,904.82/235,048.82
  6. Step 6: Final answer
    x = 218,821.39

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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.