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Finding the Fourth Proportional to 421,158.30, 631,770.57 and 140,676.54

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Solution

The fourth proportional to 421,158.30, 631,770.57 and 140,676.54 is: 211,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,158.30 : 631,770.57 = 140,676.54 : x
  2. Step 2: Convert to fraction form
    421,158.30/631,770.57 = 140,676.54/x
  3. Step 3: Cross multiply
    421,158.30x = 631,770.57 × 140,676.54
  4. Step 4: Simplify right side
    421,158.30x = 88,875,297,861.43
  5. Step 5: Solve for x
    x = 88,875,297,861.43/421,158.30
  6. Step 6: Final answer
    x = 211,025.87

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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.