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Finding the Fourth Proportional to 605,342.16, 908,012.84 and 285,419.30

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Solution

The fourth proportional to 605,342.16, 908,012.84 and 285,419.30 is: 428,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,342.16 : 908,012.84 = 285,419.30 : x
  2. Step 2: Convert to fraction form
    605,342.16/908,012.84 = 285,419.30/x
  3. Step 3: Cross multiply
    605,342.16x = 908,012.84 × 285,419.30
  4. Step 4: Simplify right side
    605,342.16x = 259,164,383,216.65
  5. Step 5: Solve for x
    x = 259,164,383,216.65/605,342.16
  6. Step 6: Final answer
    x = 428,128.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.