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Finding the Fourth Proportional to 511,353.57, 705,672.84 and 281,919.24

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Solution

The fourth proportional to 511,353.57, 705,672.84 and 281,919.24 is: 389,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,353.57 : 705,672.84 = 281,919.24 : x
  2. Step 2: Convert to fraction form
    511,353.57/705,672.84 = 281,919.24/x
  3. Step 3: Cross multiply
    511,353.57x = 705,672.84 × 281,919.24
  4. Step 4: Simplify right side
    511,353.57x = 198,942,750,741.44
  5. Step 5: Solve for x
    x = 198,942,750,741.44/511,353.57
  6. Step 6: Final answer
    x = 389,051.26

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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.