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Finding the Fourth Proportional to 408,902.35, 613,479.03 and 209,362.84

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Solution

The fourth proportional to 408,902.35, 613,479.03 and 209,362.84 is: 314,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,902.35 : 613,479.03 = 209,362.84 : x
  2. Step 2: Convert to fraction form
    408,902.35/613,479.03 = 209,362.84/x
  3. Step 3: Cross multiply
    408,902.35x = 613,479.03 × 209,362.84
  4. Step 4: Simplify right side
    408,902.35x = 128,439,708,933.85
  5. Step 5: Solve for x
    x = 128,439,708,933.85/408,902.35
  6. Step 6: Final answer
    x = 314,108.51

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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.