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Finding the Fourth Proportional to 396,004.23, 546,482.52 and 223,956

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Solution

The fourth proportional to 396,004.23, 546,482.52 and 223,956 is: 309,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,004.23 : 546,482.52 = 223,956 : x
  2. Step 2: Convert to fraction form
    396,004.23/546,482.52 = 223,956/x
  3. Step 3: Cross multiply
    396,004.23x = 546,482.52 × 223,956
  4. Step 4: Simplify right side
    396,004.23x = 122,388,039,249.12
  5. Step 5: Solve for x
    x = 122,388,039,249.12/396,004.23
  6. Step 6: Final answer
    x = 309,057.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.