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Finding the Fourth Proportional to 305,020.26, 420,922.92 and 169,053.78

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Solution

The fourth proportional to 305,020.26, 420,922.92 and 169,053.78 is: 233,291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,020.26 : 420,922.92 = 169,053.78 : x
  2. Step 2: Convert to fraction form
    305,020.26/420,922.92 = 169,053.78/x
  3. Step 3: Cross multiply
    305,020.26x = 420,922.92 × 169,053.78
  4. Step 4: Simplify right side
    305,020.26x = 71,158,610,714.64
  5. Step 5: Solve for x
    x = 71,158,610,714.64/305,020.26
  6. Step 6: Final answer
    x = 233,291.42

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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.