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Finding the Fourth Proportional to 379,309.46, 569,244.16 and 179,629.46

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Solution

The fourth proportional to 379,309.46, 569,244.16 and 179,629.46 is: 269,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,309.46 : 569,244.16 = 179,629.46 : x
  2. Step 2: Convert to fraction form
    379,309.46/569,244.16 = 179,629.46/x
  3. Step 3: Cross multiply
    379,309.46x = 569,244.16 × 179,629.46
  4. Step 4: Simplify right side
    379,309.46x = 102,253,021,068.95
  5. Step 5: Solve for x
    x = 102,253,021,068.95/379,309.46
  6. Step 6: Final answer
    x = 269,576.78

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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.