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Finding the Fourth Proportional to 274,184.16, 378,262.80 and 178,656

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Solution

The fourth proportional to 274,184.16, 378,262.80 and 178,656 is: 246,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,184.16 : 378,262.80 = 178,656 : x
  2. Step 2: Convert to fraction form
    274,184.16/378,262.80 = 178,656/x
  3. Step 3: Cross multiply
    274,184.16x = 378,262.80 × 178,656
  4. Step 4: Simplify right side
    274,184.16x = 67,578,918,796.80
  5. Step 5: Solve for x
    x = 67,578,918,796.80/274,184.16
  6. Step 6: Final answer
    x = 246,472.73

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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.