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Finding the Fourth Proportional to 329,764, 455,074.38 and 186,520.96

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Solution

The fourth proportional to 329,764, 455,074.38 and 186,520.96 is: 257,398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,764 : 455,074.38 = 186,520.96 : x
  2. Step 2: Convert to fraction form
    329,764/455,074.38 = 186,520.96/x
  3. Step 3: Cross multiply
    329,764x = 455,074.38 × 186,520.96
  4. Step 4: Simplify right side
    329,764x = 84,880,910,229.00
  5. Step 5: Solve for x
    x = 84,880,910,229.00/329,764
  6. Step 6: Final answer
    x = 257,398.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.