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Finding the Fourth Proportional to 311,855.14, 430,470.75 and 184,530.46

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Solution

The fourth proportional to 311,855.14, 430,470.75 and 184,530.46 is: 254,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,855.14 : 430,470.75 = 184,530.46 : x
  2. Step 2: Convert to fraction form
    311,855.14/430,470.75 = 184,530.46/x
  3. Step 3: Cross multiply
    311,855.14x = 430,470.75 × 184,530.46
  4. Step 4: Simplify right side
    311,855.14x = 79,434,965,514.05
  5. Step 5: Solve for x
    x = 79,434,965,514.05/311,855.14
  6. Step 6: Final answer
    x = 254,717.51

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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.