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Finding the Fourth Proportional to 408,872.80, 613,309.20 and 209,126.80

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Solution

The fourth proportional to 408,872.80, 613,309.20 and 209,126.80 is: 313,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,872.80 : 613,309.20 = 209,126.80 : x
  2. Step 2: Convert to fraction form
    408,872.80/613,309.20 = 209,126.80/x
  3. Step 3: Cross multiply
    408,872.80x = 613,309.20 × 209,126.80
  4. Step 4: Simplify right side
    408,872.80x = 128,259,390,406.56
  5. Step 5: Solve for x
    x = 128,259,390,406.56/408,872.80
  6. Step 6: Final answer
    x = 313,690.20

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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.