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Finding the Fourth Proportional to 275,413.65, 413,040.43 and 115,485.18

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Solution

The fourth proportional to 275,413.65, 413,040.43 and 115,485.18 is: 173,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,413.65 : 413,040.43 = 115,485.18 : x
  2. Step 2: Convert to fraction form
    275,413.65/413,040.43 = 115,485.18/x
  3. Step 3: Cross multiply
    275,413.65x = 413,040.43 × 115,485.18
  4. Step 4: Simplify right side
    275,413.65x = 47,700,048,405.83
  5. Step 5: Solve for x
    x = 47,700,048,405.83/275,413.65
  6. Step 6: Final answer
    x = 173,194.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.