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Finding the Fourth Proportional to 306,867, 460,306.26 and 85,256.76

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Solution

The fourth proportional to 306,867, 460,306.26 and 85,256.76 is: 127,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,867 : 460,306.26 = 85,256.76 : x
  2. Step 2: Convert to fraction form
    306,867/460,306.26 = 85,256.76/x
  3. Step 3: Cross multiply
    306,867x = 460,306.26 × 85,256.76
  4. Step 4: Simplify right side
    306,867x = 39,244,220,335.32
  5. Step 5: Solve for x
    x = 39,244,220,335.32/306,867
  6. Step 6: Final answer
    x = 127,886.74

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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.