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Finding the Fourth Proportional to 305,351.70, 421,387.89 and 169,394.55

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Solution

The fourth proportional to 305,351.70, 421,387.89 and 169,394.55 is: 233,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,351.70 : 421,387.89 = 169,394.55 : x
  2. Step 2: Convert to fraction form
    305,351.70/421,387.89 = 169,394.55/x
  3. Step 3: Cross multiply
    305,351.70x = 421,387.89 × 169,394.55
  4. Step 4: Simplify right side
    305,351.70x = 71,380,812,002.00
  5. Step 5: Solve for x
    x = 71,380,812,002.00/305,351.70
  6. Step 6: Final answer
    x = 233,765.89

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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.