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Finding the Fourth Proportional to 305,719.52, 421,894.02 and 169,753.73

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Solution

The fourth proportional to 305,719.52, 421,894.02 and 169,753.73 is: 234,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,719.52 : 421,894.02 = 169,753.73 : x
  2. Step 2: Convert to fraction form
    305,719.52/421,894.02 = 169,753.73/x
  3. Step 3: Cross multiply
    305,719.52x = 421,894.02 × 169,753.73
  4. Step 4: Simplify right side
    305,719.52x = 71,618,081,131.94
  5. Step 5: Solve for x
    x = 71,618,081,131.94/305,719.52
  6. Step 6: Final answer
    x = 234,260.74

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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.