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Finding the Fourth Proportional to 386,781.93, 533,768.27 and 217,028.61

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Solution

The fourth proportional to 386,781.93, 533,768.27 and 217,028.61 is: 299,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,781.93 : 533,768.27 = 217,028.61 : x
  2. Step 2: Convert to fraction form
    386,781.93/533,768.27 = 217,028.61/x
  3. Step 3: Cross multiply
    386,781.93x = 533,768.27 × 217,028.61
  4. Step 4: Simplify right side
    386,781.93x = 115,842,984,615.06
  5. Step 5: Solve for x
    x = 115,842,984,615.06/386,781.93
  6. Step 6: Final answer
    x = 299,504.64

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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.