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Finding the Fourth Proportional to 511,164.03, 705,377.61 and 281,720.64

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Solution

The fourth proportional to 511,164.03, 705,377.61 and 281,720.64 is: 388,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,164.03 : 705,377.61 = 281,720.64 : x
  2. Step 2: Convert to fraction form
    511,164.03/705,377.61 = 281,720.64/x
  3. Step 3: Cross multiply
    511,164.03x = 705,377.61 × 281,720.64
  4. Step 4: Simplify right side
    511,164.03x = 198,719,431,730.87
  5. Step 5: Solve for x
    x = 198,719,431,730.87/511,164.03
  6. Step 6: Final answer
    x = 388,758.64

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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.