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Finding the Fourth Proportional to 413,793.20, 620,106.60 and 255,551.60

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Solution

The fourth proportional to 413,793.20, 620,106.60 and 255,551.60 is: 382,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,793.20 : 620,106.60 = 255,551.60 : x
  2. Step 2: Convert to fraction form
    413,793.20/620,106.60 = 255,551.60/x
  3. Step 3: Cross multiply
    413,793.20x = 620,106.60 × 255,551.60
  4. Step 4: Simplify right side
    413,793.20x = 158,469,233,800.56
  5. Step 5: Solve for x
    x = 158,469,233,800.56/413,793.20
  6. Step 6: Final answer
    x = 382,967.23

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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.