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Finding the Fourth Proportional to 1,121,846, 1,682,769 and 333,878

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Solution

The fourth proportional to 1,121,846, 1,682,769 and 333,878 is: 500,817

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,846 : 1,682,769 = 333,878 : x
  2. Step 2: Convert to fraction form
    1,121,846/1,682,769 = 333,878/x
  3. Step 3: Cross multiply
    1,121,846x = 1,682,769 × 333,878
  4. Step 4: Simplify right side
    1,121,846x = 561,839,548,182
  5. Step 5: Solve for x
    x = 561,839,548,182/1,121,846
  6. Step 6: Final answer
    x = 500,817

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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.