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Finding the Fourth Proportional to 511,512, 705,910.80 and 285,157.44

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Solution

The fourth proportional to 511,512, 705,910.80 and 285,157.44 is: 393,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,512 : 705,910.80 = 285,157.44 : x
  2. Step 2: Convert to fraction form
    511,512/705,910.80 = 285,157.44/x
  3. Step 3: Cross multiply
    511,512x = 705,910.80 × 285,157.44
  4. Step 4: Simplify right side
    511,512x = 201,295,716,596.35
  5. Step 5: Solve for x
    x = 201,295,716,596.35/511,512
  6. Step 6: Final answer
    x = 393,530.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.