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Finding the Fourth Proportional to 388,651.82, 582,847.52 and 148,709.90

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Solution

The fourth proportional to 388,651.82, 582,847.52 and 148,709.90 is: 223,015.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,651.82 : 582,847.52 = 148,709.90 : x
  2. Step 2: Convert to fraction form
    388,651.82/582,847.52 = 148,709.90/x
  3. Step 3: Cross multiply
    388,651.82x = 582,847.52 × 148,709.90
  4. Step 4: Simplify right side
    388,651.82x = 86,675,196,414.45
  5. Step 5: Solve for x
    x = 86,675,196,414.45/388,651.82
  6. Step 6: Final answer
    x = 223,015.03

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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.