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Finding the Fourth Proportional to 328,196.80, 491,998.20 and 228,404.80

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Solution

The fourth proportional to 328,196.80, 491,998.20 and 228,404.80 is: 342,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,196.80 : 491,998.20 = 228,404.80 : x
  2. Step 2: Convert to fraction form
    328,196.80/491,998.20 = 228,404.80/x
  3. Step 3: Cross multiply
    328,196.80x = 491,998.20 × 228,404.80
  4. Step 4: Simplify right side
    328,196.80x = 112,374,750,471.36
  5. Step 5: Solve for x
    x = 112,374,750,471.36/328,196.80
  6. Step 6: Final answer
    x = 342,400.51

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1.5x scale

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.