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Finding the Fourth Proportional to 396,953.80, 596,121.90 and 210,329.80

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Solution

The fourth proportional to 396,953.80, 596,121.90 and 210,329.80 is: 315,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,953.80 : 596,121.90 = 210,329.80 : x
  2. Step 2: Convert to fraction form
    396,953.80/596,121.90 = 210,329.80/x
  3. Step 3: Cross multiply
    396,953.80x = 596,121.90 × 210,329.80
  4. Step 4: Simplify right side
    396,953.80x = 125,382,200,002.62
  5. Step 5: Solve for x
    x = 125,382,200,002.62/396,953.80
  6. Step 6: Final answer
    x = 315,860.94

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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.