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Finding the Fourth Proportional to 400,809.78, 601,072.83 and 116,441.15

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Solution

The fourth proportional to 400,809.78, 601,072.83 and 116,441.15 is: 174,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,809.78 : 601,072.83 = 116,441.15 : x
  2. Step 2: Convert to fraction form
    400,809.78/601,072.83 = 116,441.15/x
  3. Step 3: Cross multiply
    400,809.78x = 601,072.83 × 116,441.15
  4. Step 4: Simplify right side
    400,809.78x = 69,989,608,553.59
  5. Step 5: Solve for x
    x = 69,989,608,553.59/400,809.78
  6. Step 6: Final answer
    x = 174,620.51

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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.