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Finding the Fourth Proportional to 280,001.60, 419,964.60 and 111,645.80

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Solution

The fourth proportional to 280,001.60, 419,964.60 and 111,645.80 is: 167,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,001.60 : 419,964.60 = 111,645.80 : x
  2. Step 2: Convert to fraction form
    280,001.60/419,964.60 = 111,645.80/x
  3. Step 3: Cross multiply
    280,001.60x = 419,964.60 × 111,645.80
  4. Step 4: Simplify right side
    280,001.60x = 46,887,283,738.68
  5. Step 5: Solve for x
    x = 46,887,283,738.68/280,001.60
  6. Step 6: Final answer
    x = 167,453.63

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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.