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Finding the Fourth Proportional to 279,949, 419,965.80 and 90,346

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Solution

The fourth proportional to 279,949, 419,965.80 and 90,346 is: 135,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,949 : 419,965.80 = 90,346 : x
  2. Step 2: Convert to fraction form
    279,949/419,965.80 = 90,346/x
  3. Step 3: Cross multiply
    279,949x = 419,965.80 × 90,346
  4. Step 4: Simplify right side
    279,949x = 37,942,230,166.80
  5. Step 5: Solve for x
    x = 37,942,230,166.80/279,949
  6. Step 6: Final answer
    x = 135,532.65

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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.