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Finding the Fourth Proportional to 398,911.80, 598,659.30 and 280,813.80

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Solution

The fourth proportional to 398,911.80, 598,659.30 and 280,813.80 is: 421,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,911.80 : 598,659.30 = 280,813.80 : x
  2. Step 2: Convert to fraction form
    398,911.80/598,659.30 = 280,813.80/x
  3. Step 3: Cross multiply
    398,911.80x = 598,659.30 × 280,813.80
  4. Step 4: Simplify right side
    398,911.80x = 168,111,792,938.34
  5. Step 5: Solve for x
    x = 168,111,792,938.34/398,911.80
  6. Step 6: Final answer
    x = 421,425.97

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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.