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Finding the Fourth Proportional to 386,286.86, 533,100.48 and 216,521

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Solution

The fourth proportional to 386,286.86, 533,100.48 and 216,521 is: 298,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,286.86 : 533,100.48 = 216,521 : x
  2. Step 2: Convert to fraction form
    386,286.86/533,100.48 = 216,521/x
  3. Step 3: Cross multiply
    386,286.86x = 533,100.48 × 216,521
  4. Step 4: Simplify right side
    386,286.86x = 115,427,449,030.08
  5. Step 5: Solve for x
    x = 115,427,449,030.08/386,286.86
  6. Step 6: Final answer
    x = 298,812.78

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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.