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Finding the Fourth Proportional to 538,842.43, 743,575.28 and 306,263.28

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Solution

The fourth proportional to 538,842.43, 743,575.28 and 306,263.28 is: 422,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,842.43 : 743,575.28 = 306,263.28 : x
  2. Step 2: Convert to fraction form
    538,842.43/743,575.28 = 306,263.28/x
  3. Step 3: Cross multiply
    538,842.43x = 743,575.28 × 306,263.28
  4. Step 4: Simplify right side
    538,842.43x = 227,729,799,838.73
  5. Step 5: Solve for x
    x = 227,729,799,838.73/538,842.43
  6. Step 6: Final answer
    x = 422,627.82

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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.