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Finding the Fourth Proportional to 396,047.80, 594,071.70 and 228,086.20

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Solution

The fourth proportional to 396,047.80, 594,071.70 and 228,086.20 is: 342,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,047.80 : 594,071.70 = 228,086.20 : x
  2. Step 2: Convert to fraction form
    396,047.80/594,071.70 = 228,086.20/x
  3. Step 3: Cross multiply
    396,047.80x = 594,071.70 × 228,086.20
  4. Step 4: Simplify right side
    396,047.80x = 135,499,556,580.54
  5. Step 5: Solve for x
    x = 135,499,556,580.54/396,047.80
  6. Step 6: Final answer
    x = 342,129.30

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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.