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Finding the Fourth Proportional to 230,544, 318,413.16 and 154,961.28

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Solution

The fourth proportional to 230,544, 318,413.16 and 154,961.28 is: 214,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,544 : 318,413.16 = 154,961.28 : x
  2. Step 2: Convert to fraction form
    230,544/318,413.16 = 154,961.28/x
  3. Step 3: Cross multiply
    230,544x = 318,413.16 × 154,961.28
  4. Step 4: Simplify right side
    230,544x = 49,341,710,842.44
  5. Step 5: Solve for x
    x = 49,341,710,842.44/230,544
  6. Step 6: Final answer
    x = 214,022.97

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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.