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Finding the Fourth Proportional to 511,375.83, 705,703.37 and 281,941.22

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Solution

The fourth proportional to 511,375.83, 705,703.37 and 281,941.22 is: 389,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,375.83 : 705,703.37 = 281,941.22 : x
  2. Step 2: Convert to fraction form
    511,375.83/705,703.37 = 281,941.22/x
  3. Step 3: Cross multiply
    511,375.83x = 705,703.37 × 281,941.22
  4. Step 4: Simplify right side
    511,375.83x = 198,966,864,157.69
  5. Step 5: Solve for x
    x = 198,966,864,157.69/511,375.83
  6. Step 6: Final answer
    x = 389,081.48

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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.