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Finding the Fourth Proportional to 426,147.20, 639,220.80 and 419,148.80

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Solution

The fourth proportional to 426,147.20, 639,220.80 and 419,148.80 is: 628,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,147.20 : 639,220.80 = 419,148.80 : x
  2. Step 2: Convert to fraction form
    426,147.20/639,220.80 = 419,148.80/x
  3. Step 3: Cross multiply
    426,147.20x = 639,220.80 × 419,148.80
  4. Step 4: Simplify right side
    426,147.20x = 267,928,631,255.04
  5. Step 5: Solve for x
    x = 267,928,631,255.04/426,147.20
  6. Step 6: Final answer
    x = 628,723.20

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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.