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Finding the Fourth Proportional to 426,127.20, 639,190.80 and 419,128.80

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Solution

The fourth proportional to 426,127.20, 639,190.80 and 419,128.80 is: 628,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,127.20 : 639,190.80 = 419,128.80 : x
  2. Step 2: Convert to fraction form
    426,127.20/639,190.80 = 419,128.80/x
  3. Step 3: Cross multiply
    426,127.20x = 639,190.80 × 419,128.80
  4. Step 4: Simplify right side
    426,127.20x = 267,903,272,975.04
  5. Step 5: Solve for x
    x = 267,903,272,975.04/426,127.20
  6. Step 6: Final answer
    x = 628,693.20

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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.