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Finding the Fourth Proportional to 511,939.78, 706,478.99 and 282,503.78

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Solution

The fourth proportional to 511,939.78, 706,478.99 and 282,503.78 is: 389,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,939.78 : 706,478.99 = 282,503.78 : x
  2. Step 2: Convert to fraction form
    511,939.78/706,478.99 = 282,503.78/x
  3. Step 3: Cross multiply
    511,939.78x = 706,478.99 × 282,503.78
  4. Step 4: Simplify right side
    511,939.78x = 199,582,982,869.97
  5. Step 5: Solve for x
    x = 199,582,982,869.97/511,939.78
  6. Step 6: Final answer
    x = 389,856.37

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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.