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Finding the Fourth Proportional to 305,633.36, 421,767.36 and 169,659.36

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Solution

The fourth proportional to 305,633.36, 421,767.36 and 169,659.36 is: 234,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,633.36 : 421,767.36 = 169,659.36 : x
  2. Step 2: Convert to fraction form
    305,633.36/421,767.36 = 169,659.36/x
  3. Step 3: Cross multiply
    305,633.36x = 421,767.36 × 169,659.36
  4. Step 4: Simplify right side
    305,633.36x = 71,556,780,366.49
  5. Step 5: Solve for x
    x = 71,556,780,366.49/305,633.36
  6. Step 6: Final answer
    x = 234,126.21

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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.