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Finding the Fourth Proportional to 305,206.78, 421,190.40 and 169,246.48

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Solution

The fourth proportional to 305,206.78, 421,190.40 and 169,246.48 is: 233,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,206.78 : 421,190.40 = 169,246.48 : x
  2. Step 2: Convert to fraction form
    305,206.78/421,190.40 = 169,246.48/x
  3. Step 3: Cross multiply
    305,206.78x = 421,190.40 × 169,246.48
  4. Step 4: Simplify right side
    305,206.78x = 71,284,992,609.79
  5. Step 5: Solve for x
    x = 71,284,992,609.79/305,206.78
  6. Step 6: Final answer
    x = 233,562.94

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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.