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Finding the Fourth Proportional to 274,614.50, 378,973.77 and 155,382.50

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Solution

The fourth proportional to 274,614.50, 378,973.77 and 155,382.50 is: 214,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,614.50 : 378,973.77 = 155,382.50 : x
  2. Step 2: Convert to fraction form
    274,614.50/378,973.77 = 155,382.50/x
  3. Step 3: Cross multiply
    274,614.50x = 378,973.77 × 155,382.50
  4. Step 4: Simplify right side
    274,614.50x = 58,885,891,817.03
  5. Step 5: Solve for x
    x = 58,885,891,817.03/274,614.50
  6. Step 6: Final answer
    x = 214,431.11

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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.