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Finding the Fourth Proportional to 289,978.11, 400,168.98 and 160,936.07

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Solution

The fourth proportional to 289,978.11, 400,168.98 and 160,936.07 is: 222,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,978.11 : 400,168.98 = 160,936.07 : x
  2. Step 2: Convert to fraction form
    289,978.11/400,168.98 = 160,936.07/x
  3. Step 3: Cross multiply
    289,978.11x = 400,168.98 × 160,936.07
  4. Step 4: Simplify right side
    289,978.11x = 64,401,620,976.26
  5. Step 5: Solve for x
    x = 64,401,620,976.26/289,978.11
  6. Step 6: Final answer
    x = 222,091.32

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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.