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Finding the Fourth Proportional to 253,076.30, 349,228.68 and 145,629

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Solution

The fourth proportional to 253,076.30, 349,228.68 and 145,629 is: 200,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,076.30 : 349,228.68 = 145,629 : x
  2. Step 2: Convert to fraction form
    253,076.30/349,228.68 = 145,629/x
  3. Step 3: Cross multiply
    253,076.30x = 349,228.68 × 145,629
  4. Step 4: Simplify right side
    253,076.30x = 50,857,823,439.72
  5. Step 5: Solve for x
    x = 50,857,823,439.72/253,076.30
  6. Step 6: Final answer
    x = 200,958.46

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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.