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Finding the Fourth Proportional to 547,789.80, 821,684.70 and 311,593.80

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Solution

The fourth proportional to 547,789.80, 821,684.70 and 311,593.80 is: 467,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,789.80 : 821,684.70 = 311,593.80 : x
  2. Step 2: Convert to fraction form
    547,789.80/821,684.70 = 311,593.80/x
  3. Step 3: Cross multiply
    547,789.80x = 821,684.70 × 311,593.80
  4. Step 4: Simplify right side
    547,789.80x = 256,031,858,074.86
  5. Step 5: Solve for x
    x = 256,031,858,074.86/547,789.80
  6. Step 6: Final answer
    x = 467,390.70

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Similar ratio
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1.5x scale

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.