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Finding the Fourth Proportional to 538,083.81, 807,167.43 and 218,083.39

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Solution

The fourth proportional to 538,083.81, 807,167.43 and 218,083.39 is: 327,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,083.81 : 807,167.43 = 218,083.39 : x
  2. Step 2: Convert to fraction form
    538,083.81/807,167.43 = 218,083.39/x
  3. Step 3: Cross multiply
    538,083.81x = 807,167.43 × 218,083.39
  4. Step 4: Simplify right side
    538,083.81x = 176,029,807,414.07
  5. Step 5: Solve for x
    x = 176,029,807,414.07/538,083.81
  6. Step 6: Final answer
    x = 327,141.99

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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.