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Finding the Fourth Proportional to 274,172.70, 411,259.05 and 194,456.55

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Solution

The fourth proportional to 274,172.70, 411,259.05 and 194,456.55 is: 291,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,172.70 : 411,259.05 = 194,456.55 : x
  2. Step 2: Convert to fraction form
    274,172.70/411,259.05 = 194,456.55/x
  3. Step 3: Cross multiply
    274,172.70x = 411,259.05 × 194,456.55
  4. Step 4: Simplify right side
    274,172.70x = 79,972,016,019.28
  5. Step 5: Solve for x
    x = 79,972,016,019.28/274,172.70
  6. Step 6: Final answer
    x = 291,684.83

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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.