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Finding the Fourth Proportional to 777,618, 1,166,427 and 186,642

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Solution

The fourth proportional to 777,618, 1,166,427 and 186,642 is: 279,963

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,618 : 1,166,427 = 186,642 : x
  2. Step 2: Convert to fraction form
    777,618/1,166,427 = 186,642/x
  3. Step 3: Cross multiply
    777,618x = 1,166,427 × 186,642
  4. Step 4: Simplify right side
    777,618x = 217,704,268,134
  5. Step 5: Solve for x
    x = 217,704,268,134/777,618
  6. Step 6: Final answer
    x = 279,963

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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.