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Finding the Fourth Proportional to 547,825.40, 821,738.10 and 414,965.15

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Solution

The fourth proportional to 547,825.40, 821,738.10 and 414,965.15 is: 622,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,825.40 : 821,738.10 = 414,965.15 : x
  2. Step 2: Convert to fraction form
    547,825.40/821,738.10 = 414,965.15/x
  3. Step 3: Cross multiply
    547,825.40x = 821,738.10 × 414,965.15
  4. Step 4: Simplify right side
    547,825.40x = 340,992,673,927.22
  5. Step 5: Solve for x
    x = 340,992,673,927.22/547,825.40
  6. Step 6: Final answer
    x = 622,447.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.