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Finding the Fourth Proportional to 419,770.08, 629,258.40 and 167,206.50

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Solution

The fourth proportional to 419,770.08, 629,258.40 and 167,206.50 is: 250,651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,770.08 : 629,258.40 = 167,206.50 : x
  2. Step 2: Convert to fraction form
    419,770.08/629,258.40 = 167,206.50/x
  3. Step 3: Cross multiply
    419,770.08x = 629,258.40 × 167,206.50
  4. Step 4: Simplify right side
    419,770.08x = 105,216,094,659.60
  5. Step 5: Solve for x
    x = 105,216,094,659.60/419,770.08
  6. Step 6: Final answer
    x = 250,651.73

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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.