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Finding the Fourth Proportional to 419,356.93, 628,510.51 and 330,258.55

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Solution

The fourth proportional to 419,356.93, 628,510.51 and 330,258.55 is: 494,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,356.93 : 628,510.51 = 330,258.55 : x
  2. Step 2: Convert to fraction form
    419,356.93/628,510.51 = 330,258.55/x
  3. Step 3: Cross multiply
    419,356.93x = 628,510.51 × 330,258.55
  4. Step 4: Simplify right side
    419,356.93x = 207,570,969,692.36
  5. Step 5: Solve for x
    x = 207,570,969,692.36/419,356.93
  6. Step 6: Final answer
    x = 494,974.46

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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.