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Finding the Fourth Proportional to 397,740.78, 548,894.62 and 225,665.96

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Solution

The fourth proportional to 397,740.78, 548,894.62 and 225,665.96 is: 311,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,740.78 : 548,894.62 = 225,665.96 : x
  2. Step 2: Convert to fraction form
    397,740.78/548,894.62 = 225,665.96/x
  3. Step 3: Cross multiply
    397,740.78x = 548,894.62 × 225,665.96
  4. Step 4: Simplify right side
    397,740.78x = 123,866,831,361.14
  5. Step 5: Solve for x
    x = 123,866,831,361.14/397,740.78
  6. Step 6: Final answer
    x = 311,426.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.