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Finding the Fourth Proportional to 285,754.25, 428,598.51 and 75,408.59

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Solution

The fourth proportional to 285,754.25, 428,598.51 and 75,408.59 is: 113,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,754.25 : 428,598.51 = 75,408.59 : x
  2. Step 2: Convert to fraction form
    285,754.25/428,598.51 = 75,408.59/x
  3. Step 3: Cross multiply
    285,754.25x = 428,598.51 × 75,408.59
  4. Step 4: Simplify right side
    285,754.25x = 32,320,007,172.21
  5. Step 5: Solve for x
    x = 32,320,007,172.21/285,754.25
  6. Step 6: Final answer
    x = 113,104.21

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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.