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Finding the Fourth Proportional to 305,104.50, 421,005.25 and 169,137.19

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Solution

The fourth proportional to 305,104.50, 421,005.25 and 169,137.19 is: 233,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,104.50 : 421,005.25 = 169,137.19 : x
  2. Step 2: Convert to fraction form
    305,104.50/421,005.25 = 169,137.19/x
  3. Step 3: Cross multiply
    305,104.50x = 421,005.25 × 169,137.19
  4. Step 4: Simplify right side
    305,104.50x = 71,207,643,562.45
  5. Step 5: Solve for x
    x = 71,207,643,562.45/305,104.50
  6. Step 6: Final answer
    x = 233,387.72

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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.