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Finding the Fourth Proportional to 286,382.43, 395,199.54 and 159,049.83

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Solution

The fourth proportional to 286,382.43, 395,199.54 and 159,049.83 is: 219,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,382.43 : 395,199.54 = 159,049.83 : x
  2. Step 2: Convert to fraction form
    286,382.43/395,199.54 = 159,049.83/x
  3. Step 3: Cross multiply
    286,382.43x = 395,199.54 × 159,049.83
  4. Step 4: Simplify right side
    286,382.43x = 62,856,419,653.08
  5. Step 5: Solve for x
    x = 62,856,419,653.08/286,382.43
  6. Step 6: Final answer
    x = 219,484.20

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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.