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Finding the Fourth Proportional to 386,996.68, 534,026.16 and 217,198

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Solution

The fourth proportional to 386,996.68, 534,026.16 and 217,198 is: 299,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,996.68 : 534,026.16 = 217,198 : x
  2. Step 2: Convert to fraction form
    386,996.68/534,026.16 = 217,198/x
  3. Step 3: Cross multiply
    386,996.68x = 534,026.16 × 217,198
  4. Step 4: Simplify right side
    386,996.68x = 115,989,413,899.68
  5. Step 5: Solve for x
    x = 115,989,413,899.68/386,996.68
  6. Step 6: Final answer
    x = 299,716.82

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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.