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Finding the Fourth Proportional to 777,888, 1,166,832 and 186,912

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Solution

The fourth proportional to 777,888, 1,166,832 and 186,912 is: 280,368

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,888 : 1,166,832 = 186,912 : x
  2. Step 2: Convert to fraction form
    777,888/1,166,832 = 186,912/x
  3. Step 3: Cross multiply
    777,888x = 1,166,832 × 186,912
  4. Step 4: Simplify right side
    777,888x = 218,094,902,784
  5. Step 5: Solve for x
    x = 218,094,902,784/777,888
  6. Step 6: Final answer
    x = 280,368

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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.