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Finding the Fourth Proportional to 253,979.40, 380,634.82 and 141,712.44

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Solution

The fourth proportional to 253,979.40, 380,634.82 and 141,712.44 is: 212,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,979.40 : 380,634.82 = 141,712.44 : x
  2. Step 2: Convert to fraction form
    253,979.40/380,634.82 = 141,712.44/x
  3. Step 3: Cross multiply
    253,979.40x = 380,634.82 × 141,712.44
  4. Step 4: Simplify right side
    253,979.40x = 53,940,689,091.16
  5. Step 5: Solve for x
    x = 53,940,689,091.16/253,979.40
  6. Step 6: Final answer
    x = 212,382.14

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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.