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Finding the Fourth Proportional to 513,077.80, 769,616.70 and 419,765.80

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Solution

The fourth proportional to 513,077.80, 769,616.70 and 419,765.80 is: 629,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,077.80 : 769,616.70 = 419,765.80 : x
  2. Step 2: Convert to fraction form
    513,077.80/769,616.70 = 419,765.80/x
  3. Step 3: Cross multiply
    513,077.80x = 769,616.70 × 419,765.80
  4. Step 4: Simplify right side
    513,077.80x = 323,058,769,768.86
  5. Step 5: Solve for x
    x = 323,058,769,768.86/513,077.80
  6. Step 6: Final answer
    x = 629,648.70

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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.