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Finding the Fourth Proportional to 1,855,800, 2,783,700 and 454,968

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Solution

The fourth proportional to 1,855,800, 2,783,700 and 454,968 is: 682,452

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855,800 : 2,783,700 = 454,968 : x
  2. Step 2: Convert to fraction form
    1,855,800/2,783,700 = 454,968/x
  3. Step 3: Cross multiply
    1,855,800x = 2,783,700 × 454,968
  4. Step 4: Simplify right side
    1,855,800x = 1,266,494,421,600
  5. Step 5: Solve for x
    x = 1,266,494,421,600/1,855,800
  6. Step 6: Final answer
    x = 682,452

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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.