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Finding the Fourth Proportional to 538,071.96, 806,712.66 and 257,786.04

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Solution

The fourth proportional to 538,071.96, 806,712.66 and 257,786.04 is: 386,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,071.96 : 806,712.66 = 257,786.04 : x
  2. Step 2: Convert to fraction form
    538,071.96/806,712.66 = 257,786.04/x
  3. Step 3: Cross multiply
    538,071.96x = 806,712.66 × 257,786.04
  4. Step 4: Simplify right side
    538,071.96x = 207,959,262,039.27
  5. Step 5: Solve for x
    x = 207,959,262,039.27/538,071.96
  6. Step 6: Final answer
    x = 386,489.68

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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.