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Finding the Fourth Proportional to 378,329.40, 567,234.90 and 178,745.40

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Solution

The fourth proportional to 378,329.40, 567,234.90 and 178,745.40 is: 267,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,329.40 : 567,234.90 = 178,745.40 : x
  2. Step 2: Convert to fraction form
    378,329.40/567,234.90 = 178,745.40/x
  3. Step 3: Cross multiply
    378,329.40x = 567,234.90 × 178,745.40
  4. Step 4: Simplify right side
    378,329.40x = 101,390,629,094.46
  5. Step 5: Solve for x
    x = 101,390,629,094.46/378,329.40
  6. Step 6: Final answer
    x = 267,995.64

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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.