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Finding the Fourth Proportional to 305,620.80, 421,748.78 and 169,651.21

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Solution

The fourth proportional to 305,620.80, 421,748.78 and 169,651.21 is: 234,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,620.80 : 421,748.78 = 169,651.21 : x
  2. Step 2: Convert to fraction form
    305,620.80/421,748.78 = 169,651.21/x
  3. Step 3: Cross multiply
    305,620.80x = 421,748.78 × 169,651.21
  4. Step 4: Simplify right side
    305,620.80x = 71,550,189,731.17
  5. Step 5: Solve for x
    x = 71,550,189,731.17/305,620.80
  6. Step 6: Final answer
    x = 234,114.27

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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.