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Finding the Fourth Proportional to 511,166.38, 705,380.82 and 281,722.96

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Solution

The fourth proportional to 511,166.38, 705,380.82 and 281,722.96 is: 388,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,166.38 : 705,380.82 = 281,722.96 : x
  2. Step 2: Convert to fraction form
    511,166.38/705,380.82 = 281,722.96/x
  3. Step 3: Cross multiply
    511,166.38x = 705,380.82 × 281,722.96
  4. Step 4: Simplify right side
    511,166.38x = 198,721,973,947.58
  5. Step 5: Solve for x
    x = 198,721,973,947.58/511,166.38
  6. Step 6: Final answer
    x = 388,761.82

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1.5x scale

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.