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Finding the Fourth Proportional to 1,409,784.23, 1,945,449.89 and 765,190.55

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Solution

The fourth proportional to 1,409,784.23, 1,945,449.89 and 765,190.55 is: 1,055,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,784.23 : 1,945,449.89 = 765,190.55 : x
  2. Step 2: Convert to fraction form
    1,409,784.23/1,945,449.89 = 765,190.55/x
  3. Step 3: Cross multiply
    1,409,784.23x = 1,945,449.89 × 765,190.55
  4. Step 4: Simplify right side
    1,409,784.23x = 1,488,639,871,326.54
  5. Step 5: Solve for x
    x = 1,488,639,871,326.54/1,409,784.23
  6. Step 6: Final answer
    x = 1,055,934.55

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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.