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Finding the Fourth Proportional to 1,855,788, 2,783,682 and 454,956

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Solution

The fourth proportional to 1,855,788, 2,783,682 and 454,956 is: 682,434

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855,788 : 2,783,682 = 454,956 : x
  2. Step 2: Convert to fraction form
    1,855,788/2,783,682 = 454,956/x
  3. Step 3: Cross multiply
    1,855,788x = 2,783,682 × 454,956
  4. Step 4: Simplify right side
    1,855,788x = 1,266,452,827,992
  5. Step 5: Solve for x
    x = 1,266,452,827,992/1,855,788
  6. Step 6: Final answer
    x = 682,434

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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.