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Finding the Fourth Proportional to 279,984.80, 419,977.20 and 166,315.48

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Solution

The fourth proportional to 279,984.80, 419,977.20 and 166,315.48 is: 249,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,984.80 : 419,977.20 = 166,315.48 : x
  2. Step 2: Convert to fraction form
    279,984.80/419,977.20 = 166,315.48/x
  3. Step 3: Cross multiply
    279,984.80x = 419,977.20 × 166,315.48
  4. Step 4: Simplify right side
    279,984.80x = 69,848,707,507.17
  5. Step 5: Solve for x
    x = 69,848,707,507.17/279,984.80
  6. Step 6: Final answer
    x = 249,473.21

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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.