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Finding the Fourth Proportional to 203,912.70, 305,869.05 and 190,790.70

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Solution

The fourth proportional to 203,912.70, 305,869.05 and 190,790.70 is: 286,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,912.70 : 305,869.05 = 190,790.70 : x
  2. Step 2: Convert to fraction form
    203,912.70/305,869.05 = 190,790.70/x
  3. Step 3: Cross multiply
    203,912.70x = 305,869.05 × 190,790.70
  4. Step 4: Simplify right side
    203,912.70x = 58,356,970,157.84
  5. Step 5: Solve for x
    x = 58,356,970,157.84/203,912.70
  6. Step 6: Final answer
    x = 286,186.05

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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.