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Finding the Fourth Proportional to 613,286.34, 919,595.61 and 213,819.72

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Solution

The fourth proportional to 613,286.34, 919,595.61 and 213,819.72 is: 320,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,286.34 : 919,595.61 = 213,819.72 : x
  2. Step 2: Convert to fraction form
    613,286.34/919,595.61 = 213,819.72/x
  3. Step 3: Cross multiply
    613,286.34x = 919,595.61 × 213,819.72
  4. Step 4: Simplify right side
    613,286.34x = 196,627,675,843.43
  5. Step 5: Solve for x
    x = 196,627,675,843.43/613,286.34
  6. Step 6: Final answer
    x = 320,613.17

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1.5x scale

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.