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Finding the Fourth Proportional to 274,546, 378,879.88 and 153,684.24

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Solution

The fourth proportional to 274,546, 378,879.88 and 153,684.24 is: 212,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,546 : 378,879.88 = 153,684.24 : x
  2. Step 2: Convert to fraction form
    274,546/378,879.88 = 153,684.24/x
  3. Step 3: Cross multiply
    274,546x = 378,879.88 × 153,684.24
  4. Step 4: Simplify right side
    274,546x = 58,227,866,409.09
  5. Step 5: Solve for x
    x = 58,227,866,409.09/274,546
  6. Step 6: Final answer
    x = 212,087.83

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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.