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Finding the Fourth Proportional to 286,700.28, 395,659.89 and 159,378

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Solution

The fourth proportional to 286,700.28, 395,659.89 and 159,378 is: 219,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,700.28 : 395,659.89 = 159,378 : x
  2. Step 2: Convert to fraction form
    286,700.28/395,659.89 = 159,378/x
  3. Step 3: Cross multiply
    286,700.28x = 395,659.89 × 159,378
  4. Step 4: Simplify right side
    286,700.28x = 63,059,481,948.42
  5. Step 5: Solve for x
    x = 63,059,481,948.42/286,700.28
  6. Step 6: Final answer
    x = 219,949.15

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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.