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Finding the Fourth Proportional to 511,464.25, 705,820.71 and 285,109.75

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Solution

The fourth proportional to 511,464.25, 705,820.71 and 285,109.75 is: 393,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,464.25 : 705,820.71 = 285,109.75 : x
  2. Step 2: Convert to fraction form
    511,464.25/705,820.71 = 285,109.75/x
  3. Step 3: Cross multiply
    511,464.25x = 705,820.71 × 285,109.75
  4. Step 4: Simplify right side
    511,464.25x = 201,236,366,172.92
  5. Step 5: Solve for x
    x = 201,236,366,172.92/511,464.25
  6. Step 6: Final answer
    x = 393,451.48

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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.