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Finding the Fourth Proportional to 305,700.80, 421,893.78 and 169,761.20

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Solution

The fourth proportional to 305,700.80, 421,893.78 and 169,761.20 is: 234,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,700.80 : 421,893.78 = 169,761.20 : x
  2. Step 2: Convert to fraction form
    305,700.80/421,893.78 = 169,761.20/x
  3. Step 3: Cross multiply
    305,700.80x = 421,893.78 × 169,761.20
  4. Step 4: Simplify right side
    305,700.80x = 71,621,194,365.34
  5. Step 5: Solve for x
    x = 71,621,194,365.34/305,700.80
  6. Step 6: Final answer
    x = 234,285.27

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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.