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Finding the Fourth Proportional to 309,568.70, 427,023.36 and 194,665.14

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Solution

The fourth proportional to 309,568.70, 427,023.36 and 194,665.14 is: 268,523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,568.70 : 427,023.36 = 194,665.14 : x
  2. Step 2: Convert to fraction form
    309,568.70/427,023.36 = 194,665.14/x
  3. Step 3: Cross multiply
    309,568.70x = 427,023.36 × 194,665.14
  4. Step 4: Simplify right side
    309,568.70x = 83,126,562,157.67
  5. Step 5: Solve for x
    x = 83,126,562,157.67/309,568.70
  6. Step 6: Final answer
    x = 268,523.79

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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.