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Finding the Fourth Proportional to 270,734.20, 405,755.70 and 208,094.20

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Solution

The fourth proportional to 270,734.20, 405,755.70 and 208,094.20 is: 311,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,734.20 : 405,755.70 = 208,094.20 : x
  2. Step 2: Convert to fraction form
    270,734.20/405,755.70 = 208,094.20/x
  3. Step 3: Cross multiply
    270,734.20x = 405,755.70 × 208,094.20
  4. Step 4: Simplify right side
    270,734.20x = 84,435,407,786.94
  5. Step 5: Solve for x
    x = 84,435,407,786.94/270,734.20
  6. Step 6: Final answer
    x = 311,875.66

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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.