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Finding the Fourth Proportional to 398,912.80, 598,660.80 and 280,814.80

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Solution

The fourth proportional to 398,912.80, 598,660.80 and 280,814.80 is: 421,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,912.80 : 598,660.80 = 280,814.80 : x
  2. Step 2: Convert to fraction form
    398,912.80/598,660.80 = 280,814.80/x
  3. Step 3: Cross multiply
    398,912.80x = 598,660.80 × 280,814.80
  4. Step 4: Simplify right side
    398,912.80x = 168,112,812,819.84
  5. Step 5: Solve for x
    x = 168,112,812,819.84/398,912.80
  6. Step 6: Final answer
    x = 421,427.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.