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Finding the Fourth Proportional to 420,103.80, 628,989.30 and 408,439.80

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Solution

The fourth proportional to 420,103.80, 628,989.30 and 408,439.80 is: 611,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,103.80 : 628,989.30 = 408,439.80 : x
  2. Step 2: Convert to fraction form
    420,103.80/628,989.30 = 408,439.80/x
  3. Step 3: Cross multiply
    420,103.80x = 628,989.30 × 408,439.80
  4. Step 4: Simplify right side
    420,103.80x = 256,904,263,894.14
  5. Step 5: Solve for x
    x = 256,904,263,894.14/420,103.80
  6. Step 6: Final answer
    x = 611,525.68

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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.