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Finding the Fourth Proportional to 305,772.80, 421,992.96 and 169,832.96

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Solution

The fourth proportional to 305,772.80, 421,992.96 and 169,832.96 is: 234,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,772.80 : 421,992.96 = 169,832.96 : x
  2. Step 2: Convert to fraction form
    305,772.80/421,992.96 = 169,832.96/x
  3. Step 3: Cross multiply
    305,772.80x = 421,992.96 × 169,832.96
  4. Step 4: Simplify right side
    305,772.80x = 71,668,313,495.96
  5. Step 5: Solve for x
    x = 71,668,313,495.96/305,772.80
  6. Step 6: Final answer
    x = 234,384.20

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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.