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Finding the Fourth Proportional to 378,388.80, 567,583.20 and 178,714.56

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Solution

The fourth proportional to 378,388.80, 567,583.20 and 178,714.56 is: 268,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,388.80 : 567,583.20 = 178,714.56 : x
  2. Step 2: Convert to fraction form
    378,388.80/567,583.20 = 178,714.56/x
  3. Step 3: Cross multiply
    378,388.80x = 567,583.20 × 178,714.56
  4. Step 4: Simplify right side
    378,388.80x = 101,435,381,851.39
  5. Step 5: Solve for x
    x = 101,435,381,851.39/378,388.80
  6. Step 6: Final answer
    x = 268,071.84

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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.