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Finding the Fourth Proportional to 511,083.79, 705,300.30 and 281,649.31

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Solution

The fourth proportional to 511,083.79, 705,300.30 and 281,649.31 is: 388,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,083.79 : 705,300.30 = 281,649.31 : x
  2. Step 2: Convert to fraction form
    511,083.79/705,300.30 = 281,649.31/x
  3. Step 3: Cross multiply
    511,083.79x = 705,300.30 × 281,649.31
  4. Step 4: Simplify right side
    511,083.79x = 198,647,342,837.79
  5. Step 5: Solve for x
    x = 198,647,342,837.79/511,083.79
  6. Step 6: Final answer
    x = 388,678.62

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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.