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Finding the Fourth Proportional to 379,427.76, 569,422.26 and 179,748.54

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Solution

The fourth proportional to 379,427.76, 569,422.26 and 179,748.54 is: 269,755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,427.76 : 569,422.26 = 179,748.54 : x
  2. Step 2: Convert to fraction form
    379,427.76/569,422.26 = 179,748.54/x
  3. Step 3: Cross multiply
    379,427.76x = 569,422.26 × 179,748.54
  4. Step 4: Simplify right side
    379,427.76x = 102,352,819,878.50
  5. Step 5: Solve for x
    x = 102,352,819,878.50/379,427.76
  6. Step 6: Final answer
    x = 269,755.75

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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.