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Finding the Fourth Proportional to 306,109.95, 422,025.91 and 251,456.82

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Solution

The fourth proportional to 306,109.95, 422,025.91 and 251,456.82 is: 346,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,109.95 : 422,025.91 = 251,456.82 : x
  2. Step 2: Convert to fraction form
    306,109.95/422,025.91 = 251,456.82/x
  3. Step 3: Cross multiply
    306,109.95x = 422,025.91 × 251,456.82
  4. Step 4: Simplify right side
    306,109.95x = 106,121,293,286.21
  5. Step 5: Solve for x
    x = 106,121,293,286.21/306,109.95
  6. Step 6: Final answer
    x = 346,677.05

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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.