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Finding the Fourth Proportional to 378,792.96, 567,648 and 278,163.84

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Solution

The fourth proportional to 378,792.96, 567,648 and 278,163.84 is: 416,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,792.96 : 567,648 = 278,163.84 : x
  2. Step 2: Convert to fraction form
    378,792.96/567,648 = 278,163.84/x
  3. Step 3: Cross multiply
    378,792.96x = 567,648 × 278,163.84
  4. Step 4: Simplify right side
    378,792.96x = 157,899,147,448.32
  5. Step 5: Solve for x
    x = 157,899,147,448.32/378,792.96
  6. Step 6: Final answer
    x = 416,848.16

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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.