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Finding the Fourth Proportional to 298,786, 448,311.38 and 156,597.44

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Solution

The fourth proportional to 298,786, 448,311.38 and 156,597.44 is: 234,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,786 : 448,311.38 = 156,597.44 : x
  2. Step 2: Convert to fraction form
    298,786/448,311.38 = 156,597.44/x
  3. Step 3: Cross multiply
    298,786x = 448,311.38 × 156,597.44
  4. Step 4: Simplify right side
    298,786x = 70,204,414,430.87
  5. Step 5: Solve for x
    x = 70,204,414,430.87/298,786
  6. Step 6: Final answer
    x = 234,965.54

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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.