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Finding the Fourth Proportional to 279,740.91, 419,977.17 and 166,096.16

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Solution

The fourth proportional to 279,740.91, 419,977.17 and 166,096.16 is: 249,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,740.91 : 419,977.17 = 166,096.16 : x
  2. Step 2: Convert to fraction form
    279,740.91/419,977.17 = 166,096.16/x
  3. Step 3: Cross multiply
    279,740.91x = 419,977.17 × 166,096.16
  4. Step 4: Simplify right side
    279,740.91x = 69,756,595,224.67
  5. Step 5: Solve for x
    x = 69,756,595,224.67/279,740.91
  6. Step 6: Final answer
    x = 249,361.44

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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.