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Finding the Fourth Proportional to 369,179.46, 509,467.66 and 199,413.59

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Solution

The fourth proportional to 369,179.46, 509,467.66 and 199,413.59 is: 275,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,179.46 : 509,467.66 = 199,413.59 : x
  2. Step 2: Convert to fraction form
    369,179.46/509,467.66 = 199,413.59/x
  3. Step 3: Cross multiply
    369,179.46x = 509,467.66 × 199,413.59
  4. Step 4: Simplify right side
    369,179.46x = 101,594,772,023.63
  5. Step 5: Solve for x
    x = 101,594,772,023.63/369,179.46
  6. Step 6: Final answer
    x = 275,190.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.