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Finding the Fourth Proportional to 1,409,405.01, 1,944,978.92 and 764,825.20

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Solution

The fourth proportional to 1,409,405.01, 1,944,978.92 and 764,825.20 is: 1,055,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,405.01 : 1,944,978.92 = 764,825.20 : x
  2. Step 2: Convert to fraction form
    1,409,405.01/1,944,978.92 = 764,825.20/x
  3. Step 3: Cross multiply
    1,409,405.01x = 1,944,978.92 × 764,825.20
  4. Step 4: Simplify right side
    1,409,405.01x = 1,487,568,896,606.81
  5. Step 5: Solve for x
    x = 1,487,568,896,606.81/1,409,405.01
  6. Step 6: Final answer
    x = 1,055,458.78

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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.