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Finding the Fourth Proportional to 511,787.72, 706,268.28 and 285,447.80

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Solution

The fourth proportional to 511,787.72, 706,268.28 and 285,447.80 is: 393,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,787.72 : 706,268.28 = 285,447.80 : x
  2. Step 2: Convert to fraction form
    511,787.72/706,268.28 = 285,447.80/x
  3. Step 3: Cross multiply
    511,787.72x = 706,268.28 × 285,447.80
  4. Step 4: Simplify right side
    511,787.72x = 201,602,726,735.78
  5. Step 5: Solve for x
    x = 201,602,726,735.78/511,787.72
  6. Step 6: Final answer
    x = 393,918.65

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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.