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Finding the Fourth Proportional to 1,409,445.75, 1,945,036.38 and 764,865.94

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Solution

The fourth proportional to 1,409,445.75, 1,945,036.38 and 764,865.94 is: 1,055,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,445.75 : 1,945,036.38 = 764,865.94 : x
  2. Step 2: Convert to fraction form
    1,409,445.75/1,945,036.38 = 764,865.94/x
  3. Step 3: Cross multiply
    1,409,445.75x = 1,945,036.38 × 764,865.94
  4. Step 4: Simplify right side
    1,409,445.75x = 1,487,692,079,122.90
  5. Step 5: Solve for x
    x = 1,487,692,079,122.90/1,409,445.75
  6. Step 6: Final answer
    x = 1,055,515.67

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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.