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Finding the Fourth Proportional to 305,549.94, 421,663.41 and 169,592.61

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Solution

The fourth proportional to 305,549.94, 421,663.41 and 169,592.61 is: 234,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,549.94 : 421,663.41 = 169,592.61 : x
  2. Step 2: Convert to fraction form
    305,549.94/421,663.41 = 169,592.61/x
  3. Step 3: Cross multiply
    305,549.94x = 421,663.41 × 169,592.61
  4. Step 4: Simplify right side
    305,549.94x = 71,510,998,243.40
  5. Step 5: Solve for x
    x = 71,510,998,243.40/305,549.94
  6. Step 6: Final answer
    x = 234,040.30

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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.