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Finding the Fourth Proportional to 511,387.05, 705,715.89 and 281,939.31

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Solution

The fourth proportional to 511,387.05, 705,715.89 and 281,939.31 is: 389,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,387.05 : 705,715.89 = 281,939.31 : x
  2. Step 2: Convert to fraction form
    511,387.05/705,715.89 = 281,939.31/x
  3. Step 3: Cross multiply
    511,387.05x = 705,715.89 × 281,939.31
  4. Step 4: Simplify right side
    511,387.05x = 198,969,049,626.45
  5. Step 5: Solve for x
    x = 198,969,049,626.45/511,387.05
  6. Step 6: Final answer
    x = 389,077.22

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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.