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Finding the Fourth Proportional to 1,409,449.25, 1,945,041.21 and 764,869.44

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Solution

The fourth proportional to 1,409,449.25, 1,945,041.21 and 764,869.44 is: 1,055,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,449.25 : 1,945,041.21 = 764,869.44 : x
  2. Step 2: Convert to fraction form
    1,409,449.25/1,945,041.21 = 764,869.44/x
  3. Step 3: Cross multiply
    1,409,449.25x = 1,945,041.21 × 764,869.44
  4. Step 4: Simplify right side
    1,409,449.25x = 1,487,702,581,069.62
  5. Step 5: Solve for x
    x = 1,487,702,581,069.62/1,409,449.25
  6. Step 6: Final answer
    x = 1,055,520.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.