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Finding the Fourth Proportional to 408,864.80, 613,297.20 and 209,118.80

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Solution

The fourth proportional to 408,864.80, 613,297.20 and 209,118.80 is: 313,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,864.80 : 613,297.20 = 209,118.80 : x
  2. Step 2: Convert to fraction form
    408,864.80/613,297.20 = 209,118.80/x
  3. Step 3: Cross multiply
    408,864.80x = 613,297.20 × 209,118.80
  4. Step 4: Simplify right side
    408,864.80x = 128,251,974,507.36
  5. Step 5: Solve for x
    x = 128,251,974,507.36/408,864.80
  6. Step 6: Final answer
    x = 313,678.20

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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.