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Finding the Fourth Proportional to 304,108.26, 419,658.81 and 166,290.40

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Solution

The fourth proportional to 304,108.26, 419,658.81 and 166,290.40 is: 229,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,108.26 : 419,658.81 = 166,290.40 : x
  2. Step 2: Convert to fraction form
    304,108.26/419,658.81 = 166,290.40/x
  3. Step 3: Cross multiply
    304,108.26x = 419,658.81 × 166,290.40
  4. Step 4: Simplify right side
    304,108.26x = 69,785,231,378.42
  5. Step 5: Solve for x
    x = 69,785,231,378.42/304,108.26
  6. Step 6: Final answer
    x = 229,474.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.