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Finding the Fourth Proportional to 511,597.76, 706,004.92 and 285,243.28

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Solution

The fourth proportional to 511,597.76, 706,004.92 and 285,243.28 is: 393,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,597.76 : 706,004.92 = 285,243.28 : x
  2. Step 2: Convert to fraction form
    511,597.76/706,004.92 = 285,243.28/x
  3. Step 3: Cross multiply
    511,597.76x = 706,004.92 × 285,243.28
  4. Step 4: Simplify right side
    511,597.76x = 201,383,159,076.94
  5. Step 5: Solve for x
    x = 201,383,159,076.94/511,597.76
  6. Step 6: Final answer
    x = 393,635.73

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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.