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Finding the Fourth Proportional to 427,107.62, 589,267.65 and 274,231.46

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Solution

The fourth proportional to 427,107.62, 589,267.65 and 274,231.46 is: 378,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,107.62 : 589,267.65 = 274,231.46 : x
  2. Step 2: Convert to fraction form
    427,107.62/589,267.65 = 274,231.46/x
  3. Step 3: Cross multiply
    427,107.62x = 589,267.65 × 274,231.46
  4. Step 4: Simplify right side
    427,107.62x = 161,595,727,990.27
  5. Step 5: Solve for x
    x = 161,595,727,990.27/427,107.62
  6. Step 6: Final answer
    x = 378,348.97

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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.