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Finding the Fourth Proportional to 275,413.44, 380,047.84 and 194,888.16

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Solution

The fourth proportional to 275,413.44, 380,047.84 and 194,888.16 is: 268,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,413.44 : 380,047.84 = 194,888.16 : x
  2. Step 2: Convert to fraction form
    275,413.44/380,047.84 = 194,888.16/x
  3. Step 3: Cross multiply
    275,413.44x = 380,047.84 × 194,888.16
  4. Step 4: Simplify right side
    275,413.44x = 74,066,824,249.57
  5. Step 5: Solve for x
    x = 74,066,824,249.57/275,413.44
  6. Step 6: Final answer
    x = 268,929.59

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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.