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Finding the Fourth Proportional to 285,253.25, 393,736.95 and 164,474.96

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Solution

The fourth proportional to 285,253.25, 393,736.95 and 164,474.96 is: 227,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,253.25 : 393,736.95 = 164,474.96 : x
  2. Step 2: Convert to fraction form
    285,253.25/393,736.95 = 164,474.96/x
  3. Step 3: Cross multiply
    285,253.25x = 393,736.95 × 164,474.96
  4. Step 4: Simplify right side
    285,253.25x = 64,759,867,133.09
  5. Step 5: Solve for x
    x = 64,759,867,133.09/285,253.25
  6. Step 6: Final answer
    x = 227,025.87

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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.