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Finding the Fourth Proportional to 1,409,472.88, 1,945,086.84 and 764,898.64

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Solution

The fourth proportional to 1,409,472.88, 1,945,086.84 and 764,898.64 is: 1,055,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,472.88 : 1,945,086.84 = 764,898.64 : x
  2. Step 2: Convert to fraction form
    1,409,472.88/1,945,086.84 = 764,898.64/x
  3. Step 3: Cross multiply
    1,409,472.88x = 1,945,086.84 × 764,898.64
  4. Step 4: Simplify right side
    1,409,472.88x = 1,487,794,278,597.90
  5. Step 5: Solve for x
    x = 1,487,794,278,597.90/1,409,472.88
  6. Step 6: Final answer
    x = 1,055,567.86

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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.