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Finding the Fourth Proportional to 363,855.86, 545,180.40 and 221,269.82

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Solution

The fourth proportional to 363,855.86, 545,180.40 and 221,269.82 is: 331,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,855.86 : 545,180.40 = 221,269.82 : x
  2. Step 2: Convert to fraction form
    363,855.86/545,180.40 = 221,269.82/x
  3. Step 3: Cross multiply
    363,855.86x = 545,180.40 × 221,269.82
  4. Step 4: Simplify right side
    363,855.86x = 120,631,968,975.53
  5. Step 5: Solve for x
    x = 120,631,968,975.53/363,855.86
  6. Step 6: Final answer
    x = 331,537.79

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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.