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Finding the Fourth Proportional to 398,956.53, 598,753.68 and 206,885.54

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Solution

The fourth proportional to 398,956.53, 598,753.68 and 206,885.54 is: 310,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,956.53 : 598,753.68 = 206,885.54 : x
  2. Step 2: Convert to fraction form
    398,956.53/598,753.68 = 206,885.54/x
  3. Step 3: Cross multiply
    398,956.53x = 598,753.68 × 206,885.54
  4. Step 4: Simplify right side
    398,956.53x = 123,873,475,420.02
  5. Step 5: Solve for x
    x = 123,873,475,420.02/398,956.53
  6. Step 6: Final answer
    x = 310,493.67

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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.