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Finding the Fourth Proportional to 315,093.48, 434,839.56 and 171,861.36

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Solution

The fourth proportional to 315,093.48, 434,839.56 and 171,861.36 is: 237,174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,093.48 : 434,839.56 = 171,861.36 : x
  2. Step 2: Convert to fraction form
    315,093.48/434,839.56 = 171,861.36/x
  3. Step 3: Cross multiply
    315,093.48x = 434,839.56 × 171,861.36
  4. Step 4: Simplify right side
    315,093.48x = 74,732,118,163.40
  5. Step 5: Solve for x
    x = 74,732,118,163.40/315,093.48
  6. Step 6: Final answer
    x = 237,174.44

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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.