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Finding the Fourth Proportional to 682,109.87, 941,378.16 and 509,728.49

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Solution

The fourth proportional to 682,109.87, 941,378.16 and 509,728.49 is: 703,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,109.87 : 941,378.16 = 509,728.49 : x
  2. Step 2: Convert to fraction form
    682,109.87/941,378.16 = 509,728.49/x
  3. Step 3: Cross multiply
    682,109.87x = 941,378.16 × 509,728.49
  4. Step 4: Simplify right side
    682,109.87x = 479,847,268,015.78
  5. Step 5: Solve for x
    x = 479,847,268,015.78/682,109.87
  6. Step 6: Final answer
    x = 703,475.04

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1.5x scale

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.