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Finding the Fourth Proportional to 275,399.57, 412,711.67 and 218,989.32

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Solution

The fourth proportional to 275,399.57, 412,711.67 and 218,989.32 is: 328,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,399.57 : 412,711.67 = 218,989.32 : x
  2. Step 2: Convert to fraction form
    275,399.57/412,711.67 = 218,989.32/x
  3. Step 3: Cross multiply
    275,399.57x = 412,711.67 × 218,989.32
  4. Step 4: Simplify right side
    275,399.57x = 90,379,447,969.36
  5. Step 5: Solve for x
    x = 90,379,447,969.36/275,399.57
  6. Step 6: Final answer
    x = 328,175.70

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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.