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Finding the Fourth Proportional to 378,076.78, 566,181.42 and 281,783.12

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Solution

The fourth proportional to 378,076.78, 566,181.42 and 281,783.12 is: 421,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,076.78 : 566,181.42 = 281,783.12 : x
  2. Step 2: Convert to fraction form
    378,076.78/566,181.42 = 281,783.12/x
  3. Step 3: Cross multiply
    378,076.78x = 566,181.42 × 281,783.12
  4. Step 4: Simplify right side
    378,076.78x = 159,540,367,013.63
  5. Step 5: Solve for x
    x = 159,540,367,013.63/378,076.78
  6. Step 6: Final answer
    x = 421,978.75

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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.