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Finding the Fourth Proportional to 379,817.60, 569,812.80 and 221,964.80

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Solution

The fourth proportional to 379,817.60, 569,812.80 and 221,964.80 is: 332,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,817.60 : 569,812.80 = 221,964.80 : x
  2. Step 2: Convert to fraction form
    379,817.60/569,812.80 = 221,964.80/x
  3. Step 3: Cross multiply
    379,817.60x = 569,812.80 × 221,964.80
  4. Step 4: Simplify right side
    379,817.60x = 126,478,384,189.44
  5. Step 5: Solve for x
    x = 126,478,384,189.44/379,817.60
  6. Step 6: Final answer
    x = 332,997.69

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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.