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Finding the Fourth Proportional to 777,993.75, 1,166,990.61 and 209,376.11

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Solution

The fourth proportional to 777,993.75, 1,166,990.61 and 209,376.11 is: 314,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,993.75 : 1,166,990.61 = 209,376.11 : x
  2. Step 2: Convert to fraction form
    777,993.75/1,166,990.61 = 209,376.11/x
  3. Step 3: Cross multiply
    777,993.75x = 1,166,990.61 × 209,376.11
  4. Step 4: Simplify right side
    777,993.75x = 244,339,948,493.37
  5. Step 5: Solve for x
    x = 244,339,948,493.37/777,993.75
  6. Step 6: Final answer
    x = 314,064.15

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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.