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Finding the Fourth Proportional to 275,074.40, 412,527.53 and 190,230.75

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Solution

The fourth proportional to 275,074.40, 412,527.53 and 190,230.75 is: 285,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,074.40 : 412,527.53 = 190,230.75 : x
  2. Step 2: Convert to fraction form
    275,074.40/412,527.53 = 190,230.75/x
  3. Step 3: Cross multiply
    275,074.40x = 412,527.53 × 190,230.75
  4. Step 4: Simplify right side
    275,074.40x = 78,475,421,903.12
  5. Step 5: Solve for x
    x = 78,475,421,903.12/275,074.40
  6. Step 6: Final answer
    x = 285,287.98

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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.