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Finding the Fourth Proportional to 511,500.66, 705,845.25 and 285,102.42

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Solution

The fourth proportional to 511,500.66, 705,845.25 and 285,102.42 is: 393,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,500.66 : 705,845.25 = 285,102.42 : x
  2. Step 2: Convert to fraction form
    511,500.66/705,845.25 = 285,102.42/x
  3. Step 3: Cross multiply
    511,500.66x = 705,845.25 × 285,102.42
  4. Step 4: Simplify right side
    511,500.66x = 201,238,188,920.51
  5. Step 5: Solve for x
    x = 201,238,188,920.51/511,500.66
  6. Step 6: Final answer
    x = 393,427.04

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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.