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Finding the Fourth Proportional to 329,623.78, 494,142.42 and 119,214.94

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Solution

The fourth proportional to 329,623.78, 494,142.42 and 119,214.94 is: 178,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,623.78 : 494,142.42 = 119,214.94 : x
  2. Step 2: Convert to fraction form
    329,623.78/494,142.42 = 119,214.94/x
  3. Step 3: Cross multiply
    329,623.78x = 494,142.42 × 119,214.94
  4. Step 4: Simplify right side
    329,623.78x = 58,909,158,951.75
  5. Step 5: Solve for x
    x = 58,909,158,951.75/329,623.78
  6. Step 6: Final answer
    x = 178,716.35

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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.