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Finding the Fourth Proportional to 1,409,744.04, 1,945,441.92 and 765,164.20

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Solution

The fourth proportional to 1,409,744.04, 1,945,441.92 and 765,164.20 is: 1,055,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,744.04 : 1,945,441.92 = 765,164.20 : x
  2. Step 2: Convert to fraction form
    1,409,744.04/1,945,441.92 = 765,164.20/x
  3. Step 3: Cross multiply
    1,409,744.04x = 1,945,441.92 × 765,164.20
  4. Step 4: Simplify right side
    1,409,744.04x = 1,488,582,510,363.26
  5. Step 5: Solve for x
    x = 1,488,582,510,363.26/1,409,744.04
  6. Step 6: Final answer
    x = 1,055,923.96

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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.