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Finding the Fourth Proportional to 764,192, 1,144,712.50 and 447,689.36

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Solution

The fourth proportional to 764,192, 1,144,712.50 and 447,689.36 is: 670,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,192 : 1,144,712.50 = 447,689.36 : x
  2. Step 2: Convert to fraction form
    764,192/1,144,712.50 = 447,689.36/x
  3. Step 3: Cross multiply
    764,192x = 1,144,712.50 × 447,689.36
  4. Step 4: Simplify right side
    764,192x = 512,475,606,509
  5. Step 5: Solve for x
    x = 512,475,606,509/764,192
  6. Step 6: Final answer
    x = 670,611.06

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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.