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Finding the Fourth Proportional to 311,408.48, 429,743.69 and 168,168.52

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Solution

The fourth proportional to 311,408.48, 429,743.69 and 168,168.52 is: 232,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,408.48 : 429,743.69 = 168,168.52 : x
  2. Step 2: Convert to fraction form
    311,408.48/429,743.69 = 168,168.52/x
  3. Step 3: Cross multiply
    311,408.48x = 429,743.69 × 168,168.52
  4. Step 4: Simplify right side
    311,408.48x = 72,269,357,337.08
  5. Step 5: Solve for x
    x = 72,269,357,337.08/311,408.48
  6. Step 6: Final answer
    x = 232,072.54

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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.