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Finding the Fourth Proportional to 778,968, 1,168,452 and 187,992

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Solution

The fourth proportional to 778,968, 1,168,452 and 187,992 is: 281,988

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,968 : 1,168,452 = 187,992 : x
  2. Step 2: Convert to fraction form
    778,968/1,168,452 = 187,992/x
  3. Step 3: Cross multiply
    778,968x = 1,168,452 × 187,992
  4. Step 4: Simplify right side
    778,968x = 219,659,628,384
  5. Step 5: Solve for x
    x = 219,659,628,384/778,968
  6. Step 6: Final answer
    x = 281,988

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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.