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Finding the Fourth Proportional to 379,179.76, 523,295.64 and 218,085.34

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Solution

The fourth proportional to 379,179.76, 523,295.64 and 218,085.34 is: 300,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,179.76 : 523,295.64 = 218,085.34 : x
  2. Step 2: Convert to fraction form
    379,179.76/523,295.64 = 218,085.34/x
  3. Step 3: Cross multiply
    379,179.76x = 523,295.64 × 218,085.34
  4. Step 4: Simplify right side
    379,179.76x = 114,123,107,569.92
  5. Step 5: Solve for x
    x = 114,123,107,569.92/379,179.76
  6. Step 6: Final answer
    x = 300,973.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.