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Finding the Fourth Proportional to 419,322.96, 628,459.38 and 330,224.58

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Solution

The fourth proportional to 419,322.96, 628,459.38 and 330,224.58 is: 494,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,322.96 : 628,459.38 = 330,224.58 : x
  2. Step 2: Convert to fraction form
    419,322.96/628,459.38 = 330,224.58/x
  3. Step 3: Cross multiply
    419,322.96x = 628,459.38 × 330,224.58
  4. Step 4: Simplify right side
    419,322.96x = 207,532,734,807.56
  5. Step 5: Solve for x
    x = 207,532,734,807.56/419,322.96
  6. Step 6: Final answer
    x = 494,923.38

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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.