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Finding the Fourth Proportional to 777,659.81, 1,073,170.55 and 419,963.81

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Solution

The fourth proportional to 777,659.81, 1,073,170.55 and 419,963.81 is: 579,550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,659.81 : 1,073,170.55 = 419,963.81 : x
  2. Step 2: Convert to fraction form
    777,659.81/1,073,170.55 = 419,963.81/x
  3. Step 3: Cross multiply
    777,659.81x = 1,073,170.55 × 419,963.81
  4. Step 4: Simplify right side
    777,659.81x = 450,692,793,540.90
  5. Step 5: Solve for x
    x = 450,692,793,540.90/777,659.81
  6. Step 6: Final answer
    x = 579,550.06

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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.