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Finding the Fourth Proportional to 328,052.60, 491,769.30 and 178,071.80

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Solution

The fourth proportional to 328,052.60, 491,769.30 and 178,071.80 is: 266,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,052.60 : 491,769.30 = 178,071.80 : x
  2. Step 2: Convert to fraction form
    328,052.60/491,769.30 = 178,071.80/x
  3. Step 3: Cross multiply
    328,052.60x = 491,769.30 × 178,071.80
  4. Step 4: Simplify right side
    328,052.60x = 87,570,244,435.74
  5. Step 5: Solve for x
    x = 87,570,244,435.74/328,052.60
  6. Step 6: Final answer
    x = 266,939.64

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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.