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Finding the Fourth Proportional to 275,142.45, 412,221.60 and 169,838.40

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Solution

The fourth proportional to 275,142.45, 412,221.60 and 169,838.40 is: 254,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,142.45 : 412,221.60 = 169,838.40 : x
  2. Step 2: Convert to fraction form
    275,142.45/412,221.60 = 169,838.40/x
  3. Step 3: Cross multiply
    275,142.45x = 412,221.60 × 169,838.40
  4. Step 4: Simplify right side
    275,142.45x = 70,011,056,989.44
  5. Step 5: Solve for x
    x = 70,011,056,989.44/275,142.45
  6. Step 6: Final answer
    x = 254,453.85

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1.5x scale

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.