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Finding the Fourth Proportional to 511,375.62, 705,405.74 and 320,056.86

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Solution

The fourth proportional to 511,375.62, 705,405.74 and 320,056.86 is: 441,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,375.62 : 705,405.74 = 320,056.86 : x
  2. Step 2: Convert to fraction form
    511,375.62/705,405.74 = 320,056.86/x
  3. Step 3: Cross multiply
    511,375.62x = 705,405.74 × 320,056.86
  4. Step 4: Simplify right side
    511,375.62x = 225,769,944,570.09
  5. Step 5: Solve for x
    x = 225,769,944,570.09/511,375.62
  6. Step 6: Final answer
    x = 441,495.32

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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.