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Finding the Fourth Proportional to 513,216.80, 769,825.20 and 419,904.80

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Solution

The fourth proportional to 513,216.80, 769,825.20 and 419,904.80 is: 629,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,216.80 : 769,825.20 = 419,904.80 : x
  2. Step 2: Convert to fraction form
    513,216.80/769,825.20 = 419,904.80/x
  3. Step 3: Cross multiply
    513,216.80x = 769,825.20 × 419,904.80
  4. Step 4: Simplify right side
    513,216.80x = 323,253,296,640.96
  5. Step 5: Solve for x
    x = 323,253,296,640.96/513,216.80
  6. Step 6: Final answer
    x = 629,857.20

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Double scale
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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.