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Finding the Fourth Proportional to 279,736.40, 419,970.42 and 166,091.65

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Solution

The fourth proportional to 279,736.40, 419,970.42 and 166,091.65 is: 249,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,736.40 : 419,970.42 = 166,091.65 : x
  2. Step 2: Convert to fraction form
    279,736.40/419,970.42 = 166,091.65/x
  3. Step 3: Cross multiply
    279,736.40x = 419,970.42 × 166,091.65
  4. Step 4: Simplify right side
    279,736.40x = 69,753,578,959.07
  5. Step 5: Solve for x
    x = 69,753,578,959.07/279,736.40
  6. Step 6: Final answer
    x = 249,354.67

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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.