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Finding the Fourth Proportional to 408,864.20, 613,053.30 and 251,205.80

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Solution

The fourth proportional to 408,864.20, 613,053.30 and 251,205.80 is: 376,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,864.20 : 613,053.30 = 251,205.80 : x
  2. Step 2: Convert to fraction form
    408,864.20/613,053.30 = 251,205.80/x
  3. Step 3: Cross multiply
    408,864.20x = 613,053.30 × 251,205.80
  4. Step 4: Simplify right side
    408,864.20x = 154,002,544,669.14
  5. Step 5: Solve for x
    x = 154,002,544,669.14/408,864.20
  6. Step 6: Final answer
    x = 376,659.40

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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.