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Finding the Fourth Proportional to 275,879.76, 380,758.44 and 257,870

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Solution

The fourth proportional to 275,879.76, 380,758.44 and 257,870 is: 355,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,879.76 : 380,758.44 = 257,870 : x
  2. Step 2: Convert to fraction form
    275,879.76/380,758.44 = 257,870/x
  3. Step 3: Cross multiply
    275,879.76x = 380,758.44 × 257,870
  4. Step 4: Simplify right side
    275,879.76x = 98,186,178,922.80
  5. Step 5: Solve for x
    x = 98,186,178,922.80/275,879.76
  6. Step 6: Final answer
    x = 355,902.07

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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.