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Finding the Fourth Proportional to 306,514.82, 422,458.98 and 288,800.12

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Solution

The fourth proportional to 306,514.82, 422,458.98 and 288,800.12 is: 398,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,514.82 : 422,458.98 = 288,800.12 : x
  2. Step 2: Convert to fraction form
    306,514.82/422,458.98 = 288,800.12/x
  3. Step 3: Cross multiply
    306,514.82x = 422,458.98 × 288,800.12
  4. Step 4: Simplify right side
    306,514.82x = 122,006,202,006.78
  5. Step 5: Solve for x
    x = 122,006,202,006.78/306,514.82
  6. Step 6: Final answer
    x = 398,043.41

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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.