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Finding the Fourth Proportional to 386,781.86, 533,768.18 and 217,028.54

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Solution

The fourth proportional to 386,781.86, 533,768.18 and 217,028.54 is: 299,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,781.86 : 533,768.18 = 217,028.54 : x
  2. Step 2: Convert to fraction form
    386,781.86/533,768.18 = 217,028.54/x
  3. Step 3: Cross multiply
    386,781.86x = 533,768.18 × 217,028.54
  4. Step 4: Simplify right side
    386,781.86x = 115,842,928,803.86
  5. Step 5: Solve for x
    x = 115,842,928,803.86/386,781.86
  6. Step 6: Final answer
    x = 299,504.55

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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.