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Finding the Fourth Proportional to 538,121.82, 806,628.87 and 238,743.39

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Solution

The fourth proportional to 538,121.82, 806,628.87 and 238,743.39 is: 357,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,121.82 : 806,628.87 = 238,743.39 : x
  2. Step 2: Convert to fraction form
    538,121.82/806,628.87 = 238,743.39/x
  3. Step 3: Cross multiply
    538,121.82x = 806,628.87 × 238,743.39
  4. Step 4: Simplify right side
    538,121.82x = 192,577,310,895.67
  5. Step 5: Solve for x
    x = 192,577,310,895.67/538,121.82
  6. Step 6: Final answer
    x = 357,869.36

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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.