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Finding the Fourth Proportional to 286,595.50, 395,560.20 and 196,201.30

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Solution

The fourth proportional to 286,595.50, 395,560.20 and 196,201.30 is: 270,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,595.50 : 395,560.20 = 196,201.30 : x
  2. Step 2: Convert to fraction form
    286,595.50/395,560.20 = 196,201.30/x
  3. Step 3: Cross multiply
    286,595.50x = 395,560.20 × 196,201.30
  4. Step 4: Simplify right side
    286,595.50x = 77,609,425,468.26
  5. Step 5: Solve for x
    x = 77,609,425,468.26/286,595.50
  6. Step 6: Final answer
    x = 270,797.78

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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.