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Finding the Fourth Proportional to 511,371.48, 705,693.42 and 285,012.12

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Solution

The fourth proportional to 511,371.48, 705,693.42 and 285,012.12 is: 393,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,371.48 : 705,693.42 = 285,012.12 : x
  2. Step 2: Convert to fraction form
    511,371.48/705,693.42 = 285,012.12/x
  3. Step 3: Cross multiply
    511,371.48x = 705,693.42 × 285,012.12
  4. Step 4: Simplify right side
    511,371.48x = 201,131,177,704.25
  5. Step 5: Solve for x
    x = 201,131,177,704.25/511,371.48
  6. Step 6: Final answer
    x = 393,317.16

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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.