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Finding the Fourth Proportional to 680,640.96, 1,020,961.44 and 181,992

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Solution

The fourth proportional to 680,640.96, 1,020,961.44 and 181,992 is: 272,988

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,640.96 : 1,020,961.44 = 181,992 : x
  2. Step 2: Convert to fraction form
    680,640.96/1,020,961.44 = 181,992/x
  3. Step 3: Cross multiply
    680,640.96x = 1,020,961.44 × 181,992
  4. Step 4: Simplify right side
    680,640.96x = 185,806,814,388.48
  5. Step 5: Solve for x
    x = 185,806,814,388.48/680,640.96
  6. Step 6: Final answer
    x = 272,988

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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.