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Finding the Fourth Proportional to 1,409,406.14, 1,944,980.47 and 764,826.33

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Solution

The fourth proportional to 1,409,406.14, 1,944,980.47 and 764,826.33 is: 1,055,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,406.14 : 1,944,980.47 = 764,826.33 : x
  2. Step 2: Convert to fraction form
    1,409,406.14/1,944,980.47 = 764,826.33/x
  3. Step 3: Cross multiply
    1,409,406.14x = 1,944,980.47 × 764,826.33
  4. Step 4: Simplify right side
    1,409,406.14x = 1,487,572,283,041.48
  5. Step 5: Solve for x
    x = 1,487,572,283,041.48/1,409,406.14
  6. Step 6: Final answer
    x = 1,055,460.34

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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.