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Finding the Fourth Proportional to 280,083.74, 419,852.23 and 111,553.52

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Solution

The fourth proportional to 280,083.74, 419,852.23 and 111,553.52 is: 167,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,083.74 : 419,852.23 = 111,553.52 : x
  2. Step 2: Convert to fraction form
    280,083.74/419,852.23 = 111,553.52/x
  3. Step 3: Cross multiply
    280,083.74x = 419,852.23 × 111,553.52
  4. Step 4: Simplify right side
    280,083.74x = 46,835,991,758.20
  5. Step 5: Solve for x
    x = 46,835,991,758.20/280,083.74
  6. Step 6: Final answer
    x = 167,221.39

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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.