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Finding the Fourth Proportional to 538,698.54, 743,471.28 and 309,327.60

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Solution

The fourth proportional to 538,698.54, 743,471.28 and 309,327.60 is: 426,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,698.54 : 743,471.28 = 309,327.60 : x
  2. Step 2: Convert to fraction form
    538,698.54/743,471.28 = 309,327.60/x
  3. Step 3: Cross multiply
    538,698.54x = 743,471.28 × 309,327.60
  4. Step 4: Simplify right side
    538,698.54x = 229,976,186,711.33
  5. Step 5: Solve for x
    x = 229,976,186,711.33/538,698.54
  6. Step 6: Final answer
    x = 426,910.73

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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.