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Finding the Fourth Proportional to 418,738.20, 628,107.30 and 399,492.60

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Solution

The fourth proportional to 418,738.20, 628,107.30 and 399,492.60 is: 599,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,738.20 : 628,107.30 = 399,492.60 : x
  2. Step 2: Convert to fraction form
    418,738.20/628,107.30 = 399,492.60/x
  3. Step 3: Cross multiply
    418,738.20x = 628,107.30 × 399,492.60
  4. Step 4: Simplify right side
    418,738.20x = 250,924,218,355.98
  5. Step 5: Solve for x
    x = 250,924,218,355.98/418,738.20
  6. Step 6: Final answer
    x = 599,238.90

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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.