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Finding the Fourth Proportional to 310,861.76, 428,950.64 and 196,096.90

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Solution

The fourth proportional to 310,861.76, 428,950.64 and 196,096.90 is: 270,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,861.76 : 428,950.64 = 196,096.90 : x
  2. Step 2: Convert to fraction form
    310,861.76/428,950.64 = 196,096.90/x
  3. Step 3: Cross multiply
    310,861.76x = 428,950.64 × 196,096.90
  4. Step 4: Simplify right side
    310,861.76x = 84,115,890,757.02
  5. Step 5: Solve for x
    x = 84,115,890,757.02/310,861.76
  6. Step 6: Final answer
    x = 270,589.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.