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Finding the Fourth Proportional to 511,397.43, 705,760.15 and 281,954.30

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Solution

The fourth proportional to 511,397.43, 705,760.15 and 281,954.30 is: 389,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,397.43 : 705,760.15 = 281,954.30 : x
  2. Step 2: Convert to fraction form
    511,397.43/705,760.15 = 281,954.30/x
  3. Step 3: Cross multiply
    511,397.43x = 705,760.15 × 281,954.30
  4. Step 4: Simplify right side
    511,397.43x = 198,992,110,119.02
  5. Step 5: Solve for x
    x = 198,992,110,119.02/511,397.43
  6. Step 6: Final answer
    x = 389,114.41

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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.