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Finding the Fourth Proportional to 458,589.75, 688,801.42 and 276,584.42

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Solution

The fourth proportional to 458,589.75, 688,801.42 and 276,584.42 is: 415,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,589.75 : 688,801.42 = 276,584.42 : x
  2. Step 2: Convert to fraction form
    458,589.75/688,801.42 = 276,584.42/x
  3. Step 3: Cross multiply
    458,589.75x = 688,801.42 × 276,584.42
  4. Step 4: Simplify right side
    458,589.75x = 190,511,743,313.61
  5. Step 5: Solve for x
    x = 190,511,743,313.61/458,589.75
  6. Step 6: Final answer
    x = 415,429.57

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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.