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Finding the Fourth Proportional to 1,409,469.95, 1,945,082.80 and 764,895.71

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Solution

The fourth proportional to 1,409,469.95, 1,945,082.80 and 764,895.71 is: 1,055,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,469.95 : 1,945,082.80 = 764,895.71 : x
  2. Step 2: Convert to fraction form
    1,409,469.95/1,945,082.80 = 764,895.71/x
  3. Step 3: Cross multiply
    1,409,469.95x = 1,945,082.80 × 764,895.71
  4. Step 4: Simplify right side
    1,409,469.95x = 1,487,785,495,133.61
  5. Step 5: Solve for x
    x = 1,487,785,495,133.61/1,409,469.95
  6. Step 6: Final answer
    x = 1,055,563.83

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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.