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Finding the Fourth Proportional to 306,382.70, 422,802.05 and 170,413.72

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Solution

The fourth proportional to 306,382.70, 422,802.05 and 170,413.72 is: 235,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,382.70 : 422,802.05 = 170,413.72 : x
  2. Step 2: Convert to fraction form
    306,382.70/422,802.05 = 170,413.72/x
  3. Step 3: Cross multiply
    306,382.70x = 422,802.05 × 170,413.72
  4. Step 4: Simplify right side
    306,382.70x = 72,051,268,255.05
  5. Step 5: Solve for x
    x = 72,051,268,255.05/306,382.70
  6. Step 6: Final answer
    x = 235,167.55

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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.