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Finding the Fourth Proportional to 275,311.80, 412,865.30 and 109,065.40

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Solution

The fourth proportional to 275,311.80, 412,865.30 and 109,065.40 is: 163,557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,311.80 : 412,865.30 = 109,065.40 : x
  2. Step 2: Convert to fraction form
    275,311.80/412,865.30 = 109,065.40/x
  3. Step 3: Cross multiply
    275,311.80x = 412,865.30 × 109,065.40
  4. Step 4: Simplify right side
    275,311.80x = 45,029,319,090.62
  5. Step 5: Solve for x
    x = 45,029,319,090.62/275,311.80
  6. Step 6: Final answer
    x = 163,557.53

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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.