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Finding the Fourth Proportional to 386,163.78, 532,905.66 and 216,399.12

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Solution

The fourth proportional to 386,163.78, 532,905.66 and 216,399.12 is: 298,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,163.78 : 532,905.66 = 216,399.12 : x
  2. Step 2: Convert to fraction form
    386,163.78/532,905.66 = 216,399.12/x
  3. Step 3: Cross multiply
    386,163.78x = 532,905.66 × 216,399.12
  4. Step 4: Simplify right side
    386,163.78x = 115,320,315,867.02
  5. Step 5: Solve for x
    x = 115,320,315,867.02/386,163.78
  6. Step 6: Final answer
    x = 298,630.59

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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.