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Finding the Fourth Proportional to 396,557.68, 594,836.90 and 326,289.28

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Solution

The fourth proportional to 396,557.68, 594,836.90 and 326,289.28 is: 489,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,557.68 : 594,836.90 = 326,289.28 : x
  2. Step 2: Convert to fraction form
    396,557.68/594,836.90 = 326,289.28/x
  3. Step 3: Cross multiply
    396,557.68x = 594,836.90 × 326,289.28
  4. Step 4: Simplify right side
    396,557.68x = 194,088,903,818.43
  5. Step 5: Solve for x
    x = 194,088,903,818.43/396,557.68
  6. Step 6: Final answer
    x = 489,434.23

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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.