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Finding the Fourth Proportional to 311,956.08, 430,499.39 and 168,716.12

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Solution

The fourth proportional to 311,956.08, 430,499.39 and 168,716.12 is: 232,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,956.08 : 430,499.39 = 168,716.12 : x
  2. Step 2: Convert to fraction form
    311,956.08/430,499.39 = 168,716.12/x
  3. Step 3: Cross multiply
    311,956.08x = 430,499.39 × 168,716.12
  4. Step 4: Simplify right side
    311,956.08x = 72,632,183,747.09
  5. Step 5: Solve for x
    x = 72,632,183,747.09/311,956.08
  6. Step 6: Final answer
    x = 232,828.24

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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.