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Finding the Fourth Proportional to 809,709.84, 1,213,752 and 276,866.48

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Solution

The fourth proportional to 809,709.84, 1,213,752 and 276,866.48 is: 415,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,709.84 : 1,213,752 = 276,866.48 : x
  2. Step 2: Convert to fraction form
    809,709.84/1,213,752 = 276,866.48/x
  3. Step 3: Cross multiply
    809,709.84x = 1,213,752 × 276,866.48
  4. Step 4: Simplify right side
    809,709.84x = 336,047,243,832.96
  5. Step 5: Solve for x
    x = 336,047,243,832.96/809,709.84
  6. Step 6: Final answer
    x = 415,021.81

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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.