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Finding the Fourth Proportional to 283,074.72, 388,111.44 and 278,020.32

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Solution

The fourth proportional to 283,074.72, 388,111.44 and 278,020.32 is: 381,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,074.72 : 388,111.44 = 278,020.32 : x
  2. Step 2: Convert to fraction form
    283,074.72/388,111.44 = 278,020.32/x
  3. Step 3: Cross multiply
    283,074.72x = 388,111.44 × 278,020.32
  4. Step 4: Simplify right side
    283,074.72x = 107,902,866,744.46
  5. Step 5: Solve for x
    x = 107,902,866,744.46/283,074.72
  6. Step 6: Final answer
    x = 381,181.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.