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Finding the Fourth Proportional to 403,515.70, 605,047.55 and 187,142.43

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Solution

The fourth proportional to 403,515.70, 605,047.55 and 187,142.43 is: 280,608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,515.70 : 605,047.55 = 187,142.43 : x
  2. Step 2: Convert to fraction form
    403,515.70/605,047.55 = 187,142.43/x
  3. Step 3: Cross multiply
    403,515.70x = 605,047.55 × 187,142.43
  4. Step 4: Simplify right side
    403,515.70x = 113,230,068,772.55
  5. Step 5: Solve for x
    x = 113,230,068,772.55/403,515.70
  6. Step 6: Final answer
    x = 280,608.83

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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.