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Finding the Fourth Proportional to 764,191, 1,144,711 and 447,688.36

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Solution

The fourth proportional to 764,191, 1,144,711 and 447,688.36 is: 670,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,191 : 1,144,711 = 447,688.36 : x
  2. Step 2: Convert to fraction form
    764,191/1,144,711 = 447,688.36/x
  3. Step 3: Cross multiply
    764,191x = 1,144,711 × 447,688.36
  4. Step 4: Simplify right side
    764,191x = 512,473,790,263.96
  5. Step 5: Solve for x
    x = 512,473,790,263.96/764,191
  6. Step 6: Final answer
    x = 670,609.56

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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.