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Finding the Fourth Proportional to 398,920.80, 598,672.80 and 280,822.80

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Solution

The fourth proportional to 398,920.80, 598,672.80 and 280,822.80 is: 421,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,920.80 : 598,672.80 = 280,822.80 : x
  2. Step 2: Convert to fraction form
    398,920.80/598,672.80 = 280,822.80/x
  3. Step 3: Cross multiply
    398,920.80x = 598,672.80 × 280,822.80
  4. Step 4: Simplify right side
    398,920.80x = 168,120,971,979.84
  5. Step 5: Solve for x
    x = 168,120,971,979.84/398,920.80
  6. Step 6: Final answer
    x = 421,439.47

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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.