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Finding the Fourth Proportional to 398,910.80, 598,657.80 and 280,812.80

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Solution

The fourth proportional to 398,910.80, 598,657.80 and 280,812.80 is: 421,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,910.80 : 598,657.80 = 280,812.80 : x
  2. Step 2: Convert to fraction form
    398,910.80/598,657.80 = 280,812.80/x
  3. Step 3: Cross multiply
    398,910.80x = 598,657.80 × 280,812.80
  4. Step 4: Simplify right side
    398,910.80x = 168,110,773,059.84
  5. Step 5: Solve for x
    x = 168,110,773,059.84/398,910.80
  6. Step 6: Final answer
    x = 421,424.47

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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.