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Finding the Fourth Proportional to 304,116, 419,680 and 166,295.28

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Solution

The fourth proportional to 304,116, 419,680 and 166,295.28 is: 229,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,116 : 419,680 = 166,295.28 : x
  2. Step 2: Convert to fraction form
    304,116/419,680 = 166,295.28/x
  3. Step 3: Cross multiply
    304,116x = 419,680 × 166,295.28
  4. Step 4: Simplify right side
    304,116x = 69,790,803,110.40
  5. Step 5: Solve for x
    x = 69,790,803,110.40/304,116
  6. Step 6: Final answer
    x = 229,487.44

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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.