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Finding the Fourth Proportional to 215,819.40, 323,729.10 and 201,995.40

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Solution

The fourth proportional to 215,819.40, 323,729.10 and 201,995.40 is: 302,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,819.40 : 323,729.10 = 201,995.40 : x
  2. Step 2: Convert to fraction form
    215,819.40/323,729.10 = 201,995.40/x
  3. Step 3: Cross multiply
    215,819.40x = 323,729.10 × 201,995.40
  4. Step 4: Simplify right side
    215,819.40x = 65,391,789,046.14
  5. Step 5: Solve for x
    x = 65,391,789,046.14/215,819.40
  6. Step 6: Final answer
    x = 302,993.10

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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.