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Finding the Fourth Proportional to 511,829.25, 706,324.37 and 285,474.75

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Solution

The fourth proportional to 511,829.25, 706,324.37 and 285,474.75 is: 393,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,829.25 : 706,324.37 = 285,474.75 : x
  2. Step 2: Convert to fraction form
    511,829.25/706,324.37 = 285,474.75/x
  3. Step 3: Cross multiply
    511,829.25x = 706,324.37 × 285,474.75
  4. Step 4: Simplify right side
    511,829.25x = 201,637,771,517.28
  5. Step 5: Solve for x
    x = 201,637,771,517.28/511,829.25
  6. Step 6: Final answer
    x = 393,955.16

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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.