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Finding the Fourth Proportional to 511,375.33, 705,702.68 and 281,940.72

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Solution

The fourth proportional to 511,375.33, 705,702.68 and 281,940.72 is: 389,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,375.33 : 705,702.68 = 281,940.72 : x
  2. Step 2: Convert to fraction form
    511,375.33/705,702.68 = 281,940.72/x
  3. Step 3: Cross multiply
    511,375.33x = 705,702.68 × 281,940.72
  4. Step 4: Simplify right side
    511,375.33x = 198,966,321,705.13
  5. Step 5: Solve for x
    x = 198,966,321,705.13/511,375.33
  6. Step 6: Final answer
    x = 389,080.80

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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.