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Finding the Fourth Proportional to 328,021.60, 491,722.80 and 178,040.80

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Solution

The fourth proportional to 328,021.60, 491,722.80 and 178,040.80 is: 266,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,021.60 : 491,722.80 = 178,040.80 : x
  2. Step 2: Convert to fraction form
    328,021.60/491,722.80 = 178,040.80/x
  3. Step 3: Cross multiply
    328,021.60x = 491,722.80 × 178,040.80
  4. Step 4: Simplify right side
    328,021.60x = 87,546,720,690.24
  5. Step 5: Solve for x
    x = 87,546,720,690.24/328,021.60
  6. Step 6: Final answer
    x = 266,893.16

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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.