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Finding the Fourth Proportional to 427,563.23, 641,365.49 and 112,020.44

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Solution

The fourth proportional to 427,563.23, 641,365.49 and 112,020.44 is: 168,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,563.23 : 641,365.49 = 112,020.44 : x
  2. Step 2: Convert to fraction form
    427,563.23/641,365.49 = 112,020.44/x
  3. Step 3: Cross multiply
    427,563.23x = 641,365.49 × 112,020.44
  4. Step 4: Simplify right side
    427,563.23x = 71,846,041,463.84
  5. Step 5: Solve for x
    x = 71,846,041,463.84/427,563.23
  6. Step 6: Final answer
    x = 168,036.06

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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.