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Finding the Fourth Proportional to 306,869, 460,309.26 and 85,258.76

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Solution

The fourth proportional to 306,869, 460,309.26 and 85,258.76 is: 127,889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,869 : 460,309.26 = 85,258.76 : x
  2. Step 2: Convert to fraction form
    306,869/460,309.26 = 85,258.76/x
  3. Step 3: Cross multiply
    306,869x = 460,309.26 × 85,258.76
  4. Step 4: Simplify right side
    306,869x = 39,245,396,724.12
  5. Step 5: Solve for x
    x = 39,245,396,724.12/306,869
  6. Step 6: Final answer
    x = 127,889.74

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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.