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Finding the Fourth Proportional to 306,221.28, 422,703.54 and 204,209.88

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Solution

The fourth proportional to 306,221.28, 422,703.54 and 204,209.88 is: 281,888.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,221.28 : 422,703.54 = 204,209.88 : x
  2. Step 2: Convert to fraction form
    306,221.28/422,703.54 = 204,209.88/x
  3. Step 3: Cross multiply
    306,221.28x = 422,703.54 × 204,209.88
  4. Step 4: Simplify right side
    306,221.28x = 86,320,239,178.98
  5. Step 5: Solve for x
    x = 86,320,239,178.98/306,221.28
  6. Step 6: Final answer
    x = 281,888.44

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1.5x scale

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.