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Finding the Fourth Proportional to 386,965.68, 533,983.34 and 217,167

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Solution

The fourth proportional to 386,965.68, 533,983.34 and 217,167 is: 299,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,965.68 : 533,983.34 = 217,167 : x
  2. Step 2: Convert to fraction form
    386,965.68/533,983.34 = 217,167/x
  3. Step 3: Cross multiply
    386,965.68x = 533,983.34 × 217,167
  4. Step 4: Simplify right side
    386,965.68x = 115,963,559,997.78
  5. Step 5: Solve for x
    x = 115,963,559,997.78/386,965.68
  6. Step 6: Final answer
    x = 299,674.02

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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.