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Finding the Fourth Proportional to 511,940.43, 706,480.11 and 282,500.64

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Solution

The fourth proportional to 511,940.43, 706,480.11 and 282,500.64 is: 389,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,940.43 : 706,480.11 = 282,500.64 : x
  2. Step 2: Convert to fraction form
    511,940.43/706,480.11 = 282,500.64/x
  3. Step 3: Cross multiply
    511,940.43x = 706,480.11 × 282,500.64
  4. Step 4: Simplify right side
    511,940.43x = 199,581,083,222.27
  5. Step 5: Solve for x
    x = 199,581,083,222.27/511,940.43
  6. Step 6: Final answer
    x = 389,852.16

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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.