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Finding the Fourth Proportional to 419,280.80, 628,921.20 and 209,328.80

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Solution

The fourth proportional to 419,280.80, 628,921.20 and 209,328.80 is: 313,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,280.80 : 628,921.20 = 209,328.80 : x
  2. Step 2: Convert to fraction form
    419,280.80/628,921.20 = 209,328.80/x
  3. Step 3: Cross multiply
    419,280.80x = 628,921.20 × 209,328.80
  4. Step 4: Simplify right side
    419,280.80x = 131,651,320,090.56
  5. Step 5: Solve for x
    x = 131,651,320,090.56/419,280.80
  6. Step 6: Final answer
    x = 313,993.20

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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.