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Finding the Fourth Proportional to 354,112.77, 531,168.40 and 110,972.50

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Solution

The fourth proportional to 354,112.77, 531,168.40 and 110,972.50 is: 166,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,112.77 : 531,168.40 = 110,972.50 : x
  2. Step 2: Convert to fraction form
    354,112.77/531,168.40 = 110,972.50/x
  3. Step 3: Cross multiply
    354,112.77x = 531,168.40 × 110,972.50
  4. Step 4: Simplify right side
    354,112.77x = 58,945,085,269
  5. Step 5: Solve for x
    x = 58,945,085,269/354,112.77
  6. Step 6: Final answer
    x = 166,458.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.