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Finding the Fourth Proportional to 777,861, 1,166,791.50 and 186,885

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Solution

The fourth proportional to 777,861, 1,166,791.50 and 186,885 is: 280,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,861 : 1,166,791.50 = 186,885 : x
  2. Step 2: Convert to fraction form
    777,861/1,166,791.50 = 186,885/x
  3. Step 3: Cross multiply
    777,861x = 1,166,791.50 × 186,885
  4. Step 4: Simplify right side
    777,861x = 218,055,829,477.50
  5. Step 5: Solve for x
    x = 218,055,829,477.50/777,861
  6. Step 6: Final answer
    x = 280,327.50

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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.