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Finding the Fourth Proportional to 1,409,496.64, 1,945,119.66 and 764,922.40

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Solution

The fourth proportional to 1,409,496.64, 1,945,119.66 and 764,922.40 is: 1,055,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,496.64 : 1,945,119.66 = 764,922.40 : x
  2. Step 2: Convert to fraction form
    1,409,496.64/1,945,119.66 = 764,922.40/x
  3. Step 3: Cross multiply
    1,409,496.64x = 1,945,119.66 × 764,922.40
  4. Step 4: Simplify right side
    1,409,496.64x = 1,487,865,598,614.38
  5. Step 5: Solve for x
    x = 1,487,865,598,614.38/1,409,496.64
  6. Step 6: Final answer
    x = 1,055,600.67

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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.