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Finding the Fourth Proportional to 396,944.80, 596,108.40 and 210,320.80

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Solution

The fourth proportional to 396,944.80, 596,108.40 and 210,320.80 is: 315,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,944.80 : 596,108.40 = 210,320.80 : x
  2. Step 2: Convert to fraction form
    396,944.80/596,108.40 = 210,320.80/x
  3. Step 3: Cross multiply
    396,944.80x = 596,108.40 × 210,320.80
  4. Step 4: Simplify right side
    396,944.80x = 125,373,995,574.72
  5. Step 5: Solve for x
    x = 125,373,995,574.72/396,944.80
  6. Step 6: Final answer
    x = 315,847.43

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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.