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Finding the Fourth Proportional to 278,969.94, 418,218.44 and 110,609.21

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Solution

The fourth proportional to 278,969.94, 418,218.44 and 110,609.21 is: 165,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,969.94 : 418,218.44 = 110,609.21 : x
  2. Step 2: Convert to fraction form
    278,969.94/418,218.44 = 110,609.21/x
  3. Step 3: Cross multiply
    278,969.94x = 418,218.44 × 110,609.21
  4. Step 4: Simplify right side
    278,969.94x = 46,258,812,370.51
  5. Step 5: Solve for x
    x = 46,258,812,370.51/278,969.94
  6. Step 6: Final answer
    x = 165,820.06

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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.