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Finding the Fourth Proportional to 451,954.60, 678,200.70 and 171,500.20

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Solution

The fourth proportional to 451,954.60, 678,200.70 and 171,500.20 is: 257,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,954.60 : 678,200.70 = 171,500.20 : x
  2. Step 2: Convert to fraction form
    451,954.60/678,200.70 = 171,500.20/x
  3. Step 3: Cross multiply
    451,954.60x = 678,200.70 × 171,500.20
  4. Step 4: Simplify right side
    451,954.60x = 116,311,555,690.14
  5. Step 5: Solve for x
    x = 116,311,555,690.14/451,954.60
  6. Step 6: Final answer
    x = 257,352.30

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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.