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Finding the Fourth Proportional to 396,007.10, 594,010.65 and 209,383.10

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Solution

The fourth proportional to 396,007.10, 594,010.65 and 209,383.10 is: 314,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,007.10 : 594,010.65 = 209,383.10 : x
  2. Step 2: Convert to fraction form
    396,007.10/594,010.65 = 209,383.10/x
  3. Step 3: Cross multiply
    396,007.10x = 594,010.65 × 209,383.10
  4. Step 4: Simplify right side
    396,007.10x = 124,375,791,330.02
  5. Step 5: Solve for x
    x = 124,375,791,330.02/396,007.10
  6. Step 6: Final answer
    x = 314,074.65

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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.