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Finding the Fourth Proportional to 329,857.80, 455,204.64 and 178,954.80

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Solution

The fourth proportional to 329,857.80, 455,204.64 and 178,954.80 is: 246,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,857.80 : 455,204.64 = 178,954.80 : x
  2. Step 2: Convert to fraction form
    329,857.80/455,204.64 = 178,954.80/x
  3. Step 3: Cross multiply
    329,857.80x = 455,204.64 × 178,954.80
  4. Step 4: Simplify right side
    329,857.80x = 81,461,055,310.27
  5. Step 5: Solve for x
    x = 81,461,055,310.27/329,857.80
  6. Step 6: Final answer
    x = 246,958.10

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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.