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Finding the Fourth Proportional to 386,997.68, 534,027.54 and 217,199

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Solution

The fourth proportional to 386,997.68, 534,027.54 and 217,199 is: 299,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,997.68 : 534,027.54 = 217,199 : x
  2. Step 2: Convert to fraction form
    386,997.68/534,027.54 = 217,199/x
  3. Step 3: Cross multiply
    386,997.68x = 534,027.54 × 217,199
  4. Step 4: Simplify right side
    386,997.68x = 115,990,247,660.46
  5. Step 5: Solve for x
    x = 115,990,247,660.46/386,997.68
  6. Step 6: Final answer
    x = 299,718.20

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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.