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Finding the Fourth Proportional to 408,744.44, 613,241.50 and 209,206.21

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Solution

The fourth proportional to 408,744.44, 613,241.50 and 209,206.21 is: 313,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,744.44 : 613,241.50 = 209,206.21 : x
  2. Step 2: Convert to fraction form
    408,744.44/613,241.50 = 209,206.21/x
  3. Step 3: Cross multiply
    408,744.44x = 613,241.50 × 209,206.21
  4. Step 4: Simplify right side
    408,744.44x = 128,293,926,963.51
  5. Step 5: Solve for x
    x = 128,293,926,963.51/408,744.44
  6. Step 6: Final answer
    x = 313,873.20

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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.