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Finding the Fourth Proportional to 289,162.95, 398,764.92 and 225,477.51

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Solution

The fourth proportional to 289,162.95, 398,764.92 and 225,477.51 is: 310,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,162.95 : 398,764.92 = 225,477.51 : x
  2. Step 2: Convert to fraction form
    289,162.95/398,764.92 = 225,477.51/x
  3. Step 3: Cross multiply
    289,162.95x = 398,764.92 × 225,477.51
  4. Step 4: Simplify right side
    289,162.95x = 89,912,521,236.95
  5. Step 5: Solve for x
    x = 89,912,521,236.95/289,162.95
  6. Step 6: Final answer
    x = 310,940.67

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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.