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Finding the Fourth Proportional to 511,992.72, 706,545 and 282,552.12

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Solution

The fourth proportional to 511,992.72, 706,545 and 282,552.12 is: 389,919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,992.72 : 706,545 = 282,552.12 : x
  2. Step 2: Convert to fraction form
    511,992.72/706,545 = 282,552.12/x
  3. Step 3: Cross multiply
    511,992.72x = 706,545 × 282,552.12
  4. Step 4: Simplify right side
    511,992.72x = 199,635,787,625.40
  5. Step 5: Solve for x
    x = 199,635,787,625.40/511,992.72
  6. Step 6: Final answer
    x = 389,919.19

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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.