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Finding the Fourth Proportional to 279,743.94, 419,981.70 and 166,099.14

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Solution

The fourth proportional to 279,743.94, 419,981.70 and 166,099.14 is: 249,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,743.94 : 419,981.70 = 166,099.14 : x
  2. Step 2: Convert to fraction form
    279,743.94/419,981.70 = 166,099.14/x
  3. Step 3: Cross multiply
    279,743.94x = 419,981.70 × 166,099.14
  4. Step 4: Simplify right side
    279,743.94x = 69,758,599,185.74
  5. Step 5: Solve for x
    x = 69,758,599,185.74/279,743.94
  6. Step 6: Final answer
    x = 249,365.90

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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.