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Finding the Fourth Proportional to 509,374.56, 764,087.22 and 193,855.92

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Solution

The fourth proportional to 509,374.56, 764,087.22 and 193,855.92 is: 290,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,374.56 : 764,087.22 = 193,855.92 : x
  2. Step 2: Convert to fraction form
    509,374.56/764,087.22 = 193,855.92/x
  3. Step 3: Cross multiply
    509,374.56x = 764,087.22 × 193,855.92
  4. Step 4: Simplify right side
    509,374.56x = 148,122,830,993.34
  5. Step 5: Solve for x
    x = 148,122,830,993.34/509,374.56
  6. Step 6: Final answer
    x = 290,793.54

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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.