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Finding the Fourth Proportional to 328,090.90, 491,152.20 and 194,902.60

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Solution

The fourth proportional to 328,090.90, 491,152.20 and 194,902.60 is: 291,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,090.90 : 491,152.20 = 194,902.60 : x
  2. Step 2: Convert to fraction form
    328,090.90/491,152.20 = 194,902.60/x
  3. Step 3: Cross multiply
    328,090.90x = 491,152.20 × 194,902.60
  4. Step 4: Simplify right side
    328,090.90x = 95,726,840,775.72
  5. Step 5: Solve for x
    x = 95,726,840,775.72/328,090.90
  6. Step 6: Final answer
    x = 291,769.27

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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.