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Finding the Fourth Proportional to 275,309.80, 412,862.30 and 109,063.40

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Solution

The fourth proportional to 275,309.80, 412,862.30 and 109,063.40 is: 163,554.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,309.80 : 412,862.30 = 109,063.40 : x
  2. Step 2: Convert to fraction form
    275,309.80/412,862.30 = 109,063.40/x
  3. Step 3: Cross multiply
    275,309.80x = 412,862.30 × 109,063.40
  4. Step 4: Simplify right side
    275,309.80x = 45,028,166,169.82
  5. Step 5: Solve for x
    x = 45,028,166,169.82/275,309.80
  6. Step 6: Final answer
    x = 163,554.53

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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.