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Finding the Fourth Proportional to 511,992.72, 706,550.40 and 285,638.28

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Solution

The fourth proportional to 511,992.72, 706,550.40 and 285,638.28 is: 394,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,992.72 : 706,550.40 = 285,638.28 : x
  2. Step 2: Convert to fraction form
    511,992.72/706,550.40 = 285,638.28/x
  3. Step 3: Cross multiply
    511,992.72x = 706,550.40 × 285,638.28
  4. Step 4: Simplify right side
    511,992.72x = 201,817,840,989.31
  5. Step 5: Solve for x
    x = 201,817,840,989.31/511,992.72
  6. Step 6: Final answer
    x = 394,181.08

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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.