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Finding the Fourth Proportional to 289,116.28, 398,980.44 and 161,816.44

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Solution

The fourth proportional to 289,116.28, 398,980.44 and 161,816.44 is: 223,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,116.28 : 398,980.44 = 161,816.44 : x
  2. Step 2: Convert to fraction form
    289,116.28/398,980.44 = 161,816.44/x
  3. Step 3: Cross multiply
    289,116.28x = 398,980.44 × 161,816.44
  4. Step 4: Simplify right side
    289,116.28x = 64,561,594,430.43
  5. Step 5: Solve for x
    x = 64,561,594,430.43/289,116.28
  6. Step 6: Final answer
    x = 223,306.67

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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.