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Finding the Fourth Proportional to 396,207.91, 594,289.98 and 289,701.01

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Solution

The fourth proportional to 396,207.91, 594,289.98 and 289,701.01 is: 434,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,207.91 : 594,289.98 = 289,701.01 : x
  2. Step 2: Convert to fraction form
    396,207.91/594,289.98 = 289,701.01/x
  3. Step 3: Cross multiply
    396,207.91x = 594,289.98 × 289,701.01
  4. Step 4: Simplify right side
    396,207.91x = 172,166,407,438.88
  5. Step 5: Solve for x
    x = 172,166,407,438.88/396,207.91
  6. Step 6: Final answer
    x = 434,535.51

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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.