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Finding the Fourth Proportional to 275,810.29, 380,649.09 and 166,974.61

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Solution

The fourth proportional to 275,810.29, 380,649.09 and 166,974.61 is: 230,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,810.29 : 380,649.09 = 166,974.61 : x
  2. Step 2: Convert to fraction form
    275,810.29/380,649.09 = 166,974.61/x
  3. Step 3: Cross multiply
    275,810.29x = 380,649.09 × 166,974.61
  4. Step 4: Simplify right side
    275,810.29x = 63,558,734,539.13
  5. Step 5: Solve for x
    x = 63,558,734,539.13/275,810.29
  6. Step 6: Final answer
    x = 230,443.67

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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.