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Finding the Fourth Proportional to 279,673.76, 419,278.40 and 111,090.08

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Solution

The fourth proportional to 279,673.76, 419,278.40 and 111,090.08 is: 166,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,673.76 : 419,278.40 = 111,090.08 : x
  2. Step 2: Convert to fraction form
    279,673.76/419,278.40 = 111,090.08/x
  3. Step 3: Cross multiply
    279,673.76x = 419,278.40 × 111,090.08
  4. Step 4: Simplify right side
    279,673.76x = 46,577,670,998.27
  5. Step 5: Solve for x
    x = 46,577,670,998.27/279,673.76
  6. Step 6: Final answer
    x = 166,542.87

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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.