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Finding the Fourth Proportional to 311,469.68, 429,832.16 and 184,144.16

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Solution

The fourth proportional to 311,469.68, 429,832.16 and 184,144.16 is: 254,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,469.68 : 429,832.16 = 184,144.16 : x
  2. Step 2: Convert to fraction form
    311,469.68/429,832.16 = 184,144.16/x
  3. Step 3: Cross multiply
    311,469.68x = 429,832.16 × 184,144.16
  4. Step 4: Simplify right side
    311,469.68x = 79,151,078,974.30
  5. Step 5: Solve for x
    x = 79,151,078,974.30/311,469.68
  6. Step 6: Final answer
    x = 254,121.30

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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.