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Finding the Fourth Proportional to 343,359.36, 514,896.48 and 132,876

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Solution

The fourth proportional to 343,359.36, 514,896.48 and 132,876 is: 199,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,359.36 : 514,896.48 = 132,876 : x
  2. Step 2: Convert to fraction form
    343,359.36/514,896.48 = 132,876/x
  3. Step 3: Cross multiply
    343,359.36x = 514,896.48 × 132,876
  4. Step 4: Simplify right side
    343,359.36x = 68,417,384,676.48
  5. Step 5: Solve for x
    x = 68,417,384,676.48/343,359.36
  6. Step 6: Final answer
    x = 199,258.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.