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Finding the Fourth Proportional to 209,696.96, 314,234.39 and 154,020.80

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Solution

The fourth proportional to 209,696.96, 314,234.39 and 154,020.80 is: 230,802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,696.96 : 314,234.39 = 154,020.80 : x
  2. Step 2: Convert to fraction form
    209,696.96/314,234.39 = 154,020.80/x
  3. Step 3: Cross multiply
    209,696.96x = 314,234.39 × 154,020.80
  4. Step 4: Simplify right side
    209,696.96x = 48,398,633,305.95
  5. Step 5: Solve for x
    x = 48,398,633,305.95/209,696.96
  6. Step 6: Final answer
    x = 230,802.74

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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.