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Finding the Fourth Proportional to 279,968.40, 419,952.60 and 209,109.60

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Solution

The fourth proportional to 279,968.40, 419,952.60 and 209,109.60 is: 313,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,968.40 : 419,952.60 = 209,109.60 : x
  2. Step 2: Convert to fraction form
    279,968.40/419,952.60 = 209,109.60/x
  3. Step 3: Cross multiply
    279,968.40x = 419,952.60 × 209,109.60
  4. Step 4: Simplify right side
    279,968.40x = 87,816,120,204.96
  5. Step 5: Solve for x
    x = 87,816,120,204.96/279,968.40
  6. Step 6: Final answer
    x = 313,664.40

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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.