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Finding the Fourth Proportional to 379,865.70, 569,503.04 and 190,228.64

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Solution

The fourth proportional to 379,865.70, 569,503.04 and 190,228.64 is: 285,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,865.70 : 569,503.04 = 190,228.64 : x
  2. Step 2: Convert to fraction form
    379,865.70/569,503.04 = 190,228.64/x
  3. Step 3: Cross multiply
    379,865.70x = 569,503.04 × 190,228.64
  4. Step 4: Simplify right side
    379,865.70x = 108,335,784,976.41
  5. Step 5: Solve for x
    x = 108,335,784,976.41/379,865.70
  6. Step 6: Final answer
    x = 285,194.96

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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.