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Finding the Fourth Proportional to 511,150.26, 705,392.14 and 281,715.96

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Solution

The fourth proportional to 511,150.26, 705,392.14 and 281,715.96 is: 388,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,150.26 : 705,392.14 = 281,715.96 : x
  2. Step 2: Convert to fraction form
    511,150.26/705,392.14 = 281,715.96/x
  3. Step 3: Cross multiply
    511,150.26x = 705,392.14 × 281,715.96
  4. Step 4: Simplify right side
    511,150.26x = 198,720,223,896.55
  5. Step 5: Solve for x
    x = 198,720,223,896.55/511,150.26
  6. Step 6: Final answer
    x = 388,770.66

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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.