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Finding the Fourth Proportional to 328,097.90, 491,162.70 and 194,909.60

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Solution

The fourth proportional to 328,097.90, 491,162.70 and 194,909.60 is: 291,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,097.90 : 491,162.70 = 194,909.60 : x
  2. Step 2: Convert to fraction form
    328,097.90/491,162.70 = 194,909.60/x
  3. Step 3: Cross multiply
    328,097.90x = 491,162.70 × 194,909.60
  4. Step 4: Simplify right side
    328,097.90x = 95,732,325,391.92
  5. Step 5: Solve for x
    x = 95,732,325,391.92/328,097.90
  6. Step 6: Final answer
    x = 291,779.76

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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.