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Finding the Fourth Proportional to 2,158,500, 3,237,906.96 and 828,804

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Solution

The fourth proportional to 2,158,500, 3,237,906.96 and 828,804 is: 1,243,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158,500 : 3,237,906.96 = 828,804 : x
  2. Step 2: Convert to fraction form
    2,158,500/3,237,906.96 = 828,804/x
  3. Step 3: Cross multiply
    2,158,500x = 3,237,906.96 × 828,804
  4. Step 4: Simplify right side
    2,158,500x = 2,683,590,240,075.84
  5. Step 5: Solve for x
    x = 2,683,590,240,075.84/2,158,500
  6. Step 6: Final answer
    x = 1,243,266.27

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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.