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Finding the Fourth Proportional to 305,278.61, 421,309.76 and 169,356.42

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Solution

The fourth proportional to 305,278.61, 421,309.76 and 169,356.42 is: 233,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,278.61 : 421,309.76 = 169,356.42 : x
  2. Step 2: Convert to fraction form
    305,278.61/421,309.76 = 169,356.42/x
  3. Step 3: Cross multiply
    305,278.61x = 421,309.76 × 169,356.42
  4. Step 4: Simplify right side
    305,278.61x = 71,351,511,817.88
  5. Step 5: Solve for x
    x = 71,351,511,817.88/305,278.61
  6. Step 6: Final answer
    x = 233,725.88

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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.