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Finding the Fourth Proportional to 311,471.36, 429,834.50 and 184,145.84

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Solution

The fourth proportional to 311,471.36, 429,834.50 and 184,145.84 is: 254,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,471.36 : 429,834.50 = 184,145.84 : x
  2. Step 2: Convert to fraction form
    311,471.36/429,834.50 = 184,145.84/x
  3. Step 3: Cross multiply
    311,471.36x = 429,834.50 × 184,145.84
  4. Step 4: Simplify right side
    311,471.36x = 79,152,231,993.58
  5. Step 5: Solve for x
    x = 79,152,231,993.58/311,471.36
  6. Step 6: Final answer
    x = 254,123.63

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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.