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Finding the Fourth Proportional to 714,727.20, 986,375.31 and 472,589.85

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Solution

The fourth proportional to 714,727.20, 986,375.31 and 472,589.85 is: 652,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,727.20 : 986,375.31 = 472,589.85 : x
  2. Step 2: Convert to fraction form
    714,727.20/986,375.31 = 472,589.85/x
  3. Step 3: Cross multiply
    714,727.20x = 986,375.31 × 472,589.85
  4. Step 4: Simplify right side
    714,727.20x = 466,150,959,796.60
  5. Step 5: Solve for x
    x = 466,150,959,796.60/714,727.20
  6. Step 6: Final answer
    x = 652,208.23

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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.