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Finding the Fourth Proportional to 1,409,448.69, 1,945,040.43 and 764,868.87

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Solution

The fourth proportional to 1,409,448.69, 1,945,040.43 and 764,868.87 is: 1,055,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,448.69 : 1,945,040.43 = 764,868.87 : x
  2. Step 2: Convert to fraction form
    1,409,448.69/1,945,040.43 = 764,868.87/x
  3. Step 3: Cross multiply
    1,409,448.69x = 1,945,040.43 × 764,868.87
  4. Step 4: Simplify right side
    1,409,448.69x = 1,487,700,875,798.41
  5. Step 5: Solve for x
    x = 1,487,700,875,798.41/1,409,448.69
  6. Step 6: Final answer
    x = 1,055,519.71

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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.