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Finding the Fourth Proportional to 288,474.56, 398,093.92 and 159,409.43

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Solution

The fourth proportional to 288,474.56, 398,093.92 and 159,409.43 is: 219,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,474.56 : 398,093.92 = 159,409.43 : x
  2. Step 2: Convert to fraction form
    288,474.56/398,093.92 = 159,409.43/x
  3. Step 3: Cross multiply
    288,474.56x = 398,093.92 × 159,409.43
  4. Step 4: Simplify right side
    288,474.56x = 63,459,925,470.38
  5. Step 5: Solve for x
    x = 63,459,925,470.38/288,474.56
  6. Step 6: Final answer
    x = 219,984.48

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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.