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Finding the Fourth Proportional to 538,470.92, 743,092.82 and 309,009.96

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Solution

The fourth proportional to 538,470.92, 743,092.82 and 309,009.96 is: 426,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,470.92 : 743,092.82 = 309,009.96 : x
  2. Step 2: Convert to fraction form
    538,470.92/743,092.82 = 309,009.96/x
  3. Step 3: Cross multiply
    538,470.92x = 743,092.82 × 309,009.96
  4. Step 4: Simplify right side
    538,470.92x = 229,623,082,584.49
  5. Step 5: Solve for x
    x = 229,623,082,584.49/538,470.92
  6. Step 6: Final answer
    x = 426,435.44

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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.