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Finding the Fourth Proportional to 285,712.80, 394,273.20 and 164,859.12

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Solution

The fourth proportional to 285,712.80, 394,273.20 and 164,859.12 is: 227,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,712.80 : 394,273.20 = 164,859.12 : x
  2. Step 2: Convert to fraction form
    285,712.80/394,273.20 = 164,859.12/x
  3. Step 3: Cross multiply
    285,712.80x = 394,273.20 × 164,859.12
  4. Step 4: Simplify right side
    285,712.80x = 64,999,532,791.58
  5. Step 5: Solve for x
    x = 64,999,532,791.58/285,712.80
  6. Step 6: Final answer
    x = 227,499.55

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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.