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Finding the Fourth Proportional to 396,953.30, 596,121.15 and 210,329.30

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Solution

The fourth proportional to 396,953.30, 596,121.15 and 210,329.30 is: 315,860.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,953.30 : 596,121.15 = 210,329.30 : x
  2. Step 2: Convert to fraction form
    396,953.30/596,121.15 = 210,329.30/x
  3. Step 3: Cross multiply
    396,953.30x = 596,121.15 × 210,329.30
  4. Step 4: Simplify right side
    396,953.30x = 125,381,744,194.70
  5. Step 5: Solve for x
    x = 125,381,744,194.70/396,953.30
  6. Step 6: Final answer
    x = 315,860.19

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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.