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Finding the Fourth Proportional to 304,442.26, 420,120 and 168,481.96

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Solution

The fourth proportional to 304,442.26, 420,120 and 168,481.96 is: 232,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,442.26 : 420,120 = 168,481.96 : x
  2. Step 2: Convert to fraction form
    304,442.26/420,120 = 168,481.96/x
  3. Step 3: Cross multiply
    304,442.26x = 420,120 × 168,481.96
  4. Step 4: Simplify right side
    304,442.26x = 70,782,641,035.20
  5. Step 5: Solve for x
    x = 70,782,641,035.20/304,442.26
  6. Step 6: Final answer
    x = 232,499.39

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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.